Question 1

Solve the inequality and graph the solution set. $10 x + 4 + 11 x > 2 - 11 x + 2$

Accepted Answer

A)  $( 0 , \infty )$
  
B)  $( - \infty , 0 ]$
  
C)  $[ - 11 , \infty )$
  
D)  $( - \infty , \infty )$
  
E)  $\varnothing$
  
A)  $( 0 , \infty )$
  
B)  $( - \infty , 0 ]$
  
C)  $[ - 11 , \infty )$
  
D)  $( - \infty , \infty )$
  
E)  $\varnothing$
  A

Question 2

Solve the inequality. Graph the solution set and write it using interval notation. $| 5 x + 3 | > - 9$

Accepted Answer

A)  $x \in \left( - \infty , \frac { 11 } { 3 } \right)$;
  
B)  $x \in ( - \infty , - 5 ) \cup \left( \frac { 11 } { 3 } , \infty \right)$;
  
C)  $x \in ( - 5 , \infty )$;
  
D)  $x \in ( - \infty , \infty )$; 
  
E)  no solution; 
  
A)  $x \in \left( - \infty , \frac { 11 } { 3 } \right)$;
  
B)  $x \in ( - \infty , - 5 ) \cup \left( \frac { 11 } { 3 } , \infty \right)$;
  
C)  $x \in ( - 5 , \infty )$;
  
D)  $x \in ( - \infty , \infty )$; 
  
E)  no solution; 
  D

Question 3

Solve the compound inequality and write the answer in interval notation.
 1  ≥ $\frac { x + 2 } { 3 }$ or $\frac { 4 x - 8 } { 5 }$  > $\frac { 1 } { 5 }$

Accepted Answer

$( - \infty , 1 ] \cup \left( \frac { 9 } { 4 } , \infty \right)$

Question 4

Solve the equation. $| x | = 21$

Accepted Answer

A)  $x = - 21,21$ 
B)  $x = - 20$ 
C)  $x = 21$ 
D)  $x = - 20,20$ 
E)  no solution 
A)  $x = - 21,21$ 
B)  $x = - 20$ 
C)  $x = 21$ 
D)  $x = - 20,20$ 
E)  no solution

Question 5

Solve and write solution set in interval notation: $\frac { x } { 3 } - \frac { 1 } { 4 } < 2 x$

Accepted Answer

A)  $\left( - \infty , - \frac { 3 } { 20 } \right)$ 
B)  $\left( - \frac { 3 } { 20 } , \infty \right)$ 
C)  $( - 3 , \infty )$ 
D)  $( - \infty , - 3 )$ 
A)  $\left( - \infty , - \frac { 3 } { 20 } \right)$ 
B)  $\left( - \frac { 3 } { 20 } , \infty \right)$ 
C)  $( - 3 , \infty )$ 
D)  $( - \infty , - 3 )$

Question 6

Solve and write solution set in interval notation: $8 x - 2 < x - 4$

Accepted Answer

A)  $\left( - \frac { 2 } { 7 } , \infty \right)$ 
B)  $\left( - \infty , - \frac { 2 } { 7 } \right)$ 
C)  $\left( \frac { 2 } { 7 } , \infty \right)$ 
D)  $\left( - \infty , \frac { 2 } { 7 } \right)$ 
A)  $\left( - \frac { 2 } { 7 } , \infty \right)$ 
B)  $\left( - \infty , - \frac { 2 } { 7 } \right)$ 
C)  $\left( \frac { 2 } { 7 } , \infty \right)$ 
D)  $\left( - \infty , \frac { 2 } { 7 } \right)$

Question 7

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 12 \leq \frac { 25 - 7 x } { 2 } \leq 12$

Accepted Answer

A)  $[ 7 , \infty )$
  
B)  $\left[ \frac { 1 } { 7 } , \infty \right)$
  
C)  $\left( - \infty , \frac { 1 } { 7 } \right]$
  
D)  $\left[ \frac { 1 } { 7 } , 7 \right]$
  
E)  $\varnothing$
  
A)  $[ 7 , \infty )$
  
B)  $\left[ \frac { 1 } { 7 } , \infty \right)$
  
C)  $\left( - \infty , \frac { 1 } { 7 } \right]$
  
D)  $\left[ \frac { 1 } { 7 } , 7 \right]$
  
E)  $\varnothing$

Question 8

Graph the solution set of the system of inequalities on a rectangular coordinate system. $\left\{ \begin{array} { l } 
x + y < 7 \
x \leq 6 - y
\end{array} \right.$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Solve the inequality: $2 ( 7 x - 3 ) - 9 \geq 8 x - 6 + 6 x$

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  no solution 
C)  $[ - 15 , \infty )$ 
D)  $( - \infty , - 6 ]$ 
A)  $( - \infty , \infty )$ 
B)  no solution 
C)  $[ - 15 , \infty )$ 
D)  $( - \infty , - 6 ]$

Question 10

Solve the inequality and graph the solution set. $5 x < - 35$

Accepted Answer

A)  $( - \infty , - 7 )$    
B)  $( - \infty , - 7 ]$
  
C)  $( - 7 , \infty )$
  
D)  $( - \infty , \infty )$   
E)  $\varnothing$ 
  
A)  $( - \infty , - 7 )$    
B)  $( - \infty , - 7 ]$
  
C)  $( - 7 , \infty )$
  
D)  $( - \infty , \infty )$   
E)  $\varnothing$

Question 11

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 2 < - 2 ( x - 5 ) \leq 18$

Accepted Answer

A)  $( - 6,4 ]$
  
B)  $( - \infty , - 4 ] \cup ( 6 , \infty )$
  
C)  $[ - 6,4 )$
  
D)  $[ - 4,6 )$
  
E)  $( - 4,6 ]$
  
A)  $( - 6,4 ]$
  
B)  $( - \infty , - 4 ] \cup ( 6 , \infty )$
  
C)  $[ - 6,4 )$
  
D)  $[ - 4,6 )$
  
E)  $( - 4,6 ]$

Question 12

Which of the following points satisfies the system $\left\{ \begin{array} { l } 
x - 2 y \leq - 4 \
x - 4 y > - 6
\end{array} \right.$

Accepted Answer

A)  (0,4) 
B)  (1,6) 
C)  (-8,2) 
D)  (-5,0) 
A)  (0,4) 
B)  (1,6) 
C)  (-8,2) 
D)  (-5,0)

Question 13

Solve: $| 4 x - 3 |$  ?  7

Accepted Answer

A)  $\left[ \frac { 5 } { 2 } , \infty \right)$ 
B)  $\left[ - 1 , \frac { 5 } { 2 } \right]$ 
C)  $( - \infty , - 1 ] \cup \left[ \frac { 5 } { 2 } , \infty \right)$ 
D)  $( - \infty , - 1 ]$ 
A)  $\left[ \frac { 5 } { 2 } , \infty \right)$ 
B)  $\left[ - 1 , \frac { 5 } { 2 } \right]$ 
C)  $( - \infty , - 1 ] \cup \left[ \frac { 5 } { 2 } , \infty \right)$ 
D)  $( - \infty , - 1 ]$

Question 14

What is incorrect about the inequality $- 2 \leq 5 x - 1 < - 4$ ?

Accepted Answer

@#IMG-DLM& is not a

Question 15

Graph the inequality. $\frac { x } { 5 } - \frac { y } { 4 } \geq 1$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

A school PTA wants to rent a dunking tank for its annual school fund-raising carnival. The cost is $90.00 for the first three hours and then $20.50 for each additional hour or part thereof. How long can the tank be rented if up to $185 is budgeted for this expense?
 __________ hr

Accepted Answer

The answer of A school PTA wants to rent a...

Question 17

If $a < b$ and $c < 0$ , then ac ________  bc

Accepted Answer

A)   
A)

Question 18

A student works two part-time jobs. He earns $7 an hour for working at the college library and $13 an hour for construction work. To save time for study, he limits his work to 25 hours a week. If he enjoys the work at the library more, how many hours can he work at the library and still earn at least $235 a week?

Accepted Answer

A)  12 hr 
B)  13 hr 
C)  14 hr 
D)  15 hr 
E)  16 hr 
A)  12 hr 
B)  13 hr 
C)  14 hr 
D)  15 hr 
E)  16 hr

Question 19

Graph the solution set of the system of inequalities. $\left\{ \begin{array} { l } 
2 x + y \leq 4 \
y \geq x \
x \geq 0
\end{array} \right.$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Solve, if possible: $- 6 x < - 18$ and $4 x + 1 \leq 9$

Accepted Answer

A)  $\varnothing$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , 2 ]$ 
D)  $[ 2,3 )$ 
A)  $\varnothing$ 
B)  $( - \infty , \infty )$ 
C)  $( - \infty , 2 ]$ 
D)  $[ 2,3 )$

Solve the inequality and graph the solution set. $10 x + 4 + 11 x > 2 - 11 x + 2$

Solve the inequality. Graph the solution set and write it using interval notation. $| 5 x + 3 | > - 9$

Solve the compound inequality and write the answer in interval notation. 1 ≥ $\frac { x + 2 } { 3 }$ or $\frac { 4 x - 8 } { 5 }$ > $\frac { 1 } { 5 }$

Solve the equation. $| x | = 21$

Solve and write solution set in interval notation: $\frac { x } { 3 } - \frac { 1 } { 4 } < 2 x$

Solve and write solution set in interval notation: $8 x - 2 < x - 4$

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 12 \leq \frac { 25 - 7 x } { 2 } \leq 12$

Graph the solution set of the system of inequalities on a rectangular coordinate system. $\left\{ \begin{array} { l } x + y < 7 \\x \leq 6 - y\end{array} \right.$

Solve the inequality: $2 ( 7 x - 3 ) - 9 \geq 8 x - 6 + 6 x$

Solve the inequality and graph the solution set. $5 x < - 35$

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 2 < - 2 ( x - 5 ) \leq 18$

Which of the following points satisfies the system $\left\{ \begin{array} { l } x - 2 y \leq - 4 \\x - 4 y > - 6\end{array} \right.$

Solve: $| 4 x - 3 |$ ? 7

What is incorrect about the inequality $- 2 \leq 5 x - 1 < - 4$ ?

Graph the inequality. $\frac { x } { 5 } - \frac { y } { 4 } \geq 1$

A school PTA wants to rent a dunking tank for its annual school fund-raising carnival. The cost is $90.00 for the first three hours and then $20.50 for each additional hour or part thereof. How long can the tank be rented if up to $185 is budgeted for this expense? __________ hr

If $a < b$ and $c < 0$ , then ac ________ bc

Graph the solution set of the system of inequalities. $\left\{ \begin{array} { l } 2 x + y \leq 4 \\y \geq x \\x \geq 0\end{array} \right.$

Solve, if possible: $- 6 x < - 18$ and $4 x + 1 \leq 9$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 4: Inequalities

Solve the inequality and graph the solution set. 10x+4+11x>2−11x+210 x + 4 + 11 x > 2 - 11 x + 210x+4+11x>2−11x+2

Solve the inequality. Graph the solution set and write it using interval notation. ∣5x+3∣>−9| 5 x + 3 | > - 9∣5x+3∣>−9

Solve the compound inequality and write the answer in interval notation. 1 ≥ x+23\frac { x + 2 } { 3 }3x+2​ or 4x−85\frac { 4 x - 8 } { 5 }54x−8​ > 15\frac { 1 } { 5 }51​

Solve the equation. ∣x∣=21| x | = 21∣x∣=21

Solve and write solution set in interval notation: x3−14<2x\frac { x } { 3 } - \frac { 1 } { 4 } < 2 x3x​−41​<2x

Solve and write solution set in interval notation: 8x−2<x−48 x - 2 < x - 48x−2<x−4

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. −12≤25−7x2≤12- 12 \leq \frac { 25 - 7 x } { 2 } \leq 12−12≤225−7x​≤12

Graph the solution set of the system of inequalities on a rectangular coordinate system. {x+y<7x≤6−y\left\{ \begin{array} { l } x + y < 7 \\x \leq 6 - y\end{array} \right.{x+y<7x≤6−y​

Solve the inequality: 2(7x−3)−9≥8x−6+6x2 ( 7 x - 3 ) - 9 \geq 8 x - 6 + 6 x2(7x−3)−9≥8x−6+6x

Solve the inequality and graph the solution set. 5x<−355 x < - 355x<−35

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. −2<−2(x−5)≤18- 2 < - 2 ( x - 5 ) \leq 18−2<−2(x−5)≤18

Which of the following points satisfies the system {x−2y≤−4x−4y>−6\left\{ \begin{array} { l } x - 2 y \leq - 4 \\x - 4 y > - 6\end{array} \right.{x−2y≤−4x−4y>−6​

Solve: ∣4x−3∣| 4 x - 3 |∣4x−3∣ ? 7

What is incorrect about the inequality −2≤5x−1<−4- 2 \leq 5 x - 1 < - 4−2≤5x−1<−4 ?

Graph the inequality. x5−y4≥1\frac { x } { 5 } - \frac { y } { 4 } \geq 15x​−4y​≥1

A school PTA wants to rent a dunking tank for its annual school fund-raising carnival. The cost is $90.00 for the first three hours and then $20.50 for each additional hour or part thereof. How long can the tank be rented if up to $185 is budgeted for this expense? __________ hr

If a<ba < ba<b and c<0c < 0c<0 , then ac ________ bc

Graph the solution set of the system of inequalities. {2x+y≤4y≥xx≥0\left\{ \begin{array} { l } 2 x + y \leq 4 \\y \geq x \\x \geq 0\end{array} \right.⎩⎨⎧​2x+y≤4y≥xx≥0​

Solve, if possible: −6x<−18- 6 x < - 18−6x<−18 and 4x+1≤94 x + 1 \leq 94x+1≤9

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Solve the inequality and graph the solution set. $10 x + 4 + 11 x > 2 - 11 x + 2$

Solve the inequality. Graph the solution set and write it using interval notation. $| 5 x + 3 | > - 9$

Solve the compound inequality and write the answer in interval notation. 1 ≥ $\frac { x + 2 } { 3 }$ or $\frac { 4 x - 8 } { 5 }$ > $\frac { 1 } { 5 }$

Solve the equation. $| x | = 21$

Solve and write solution set in interval notation: $\frac { x } { 3 } - \frac { 1 } { 4 } < 2 x$

Solve and write solution set in interval notation: $8 x - 2 < x - 4$

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 12 \leq \frac { 25 - 7 x } { 2 } \leq 12$

Graph the solution set of the system of inequalities on a rectangular coordinate system. $\left\{ \begin{array} { l } x + y < 7 \\x \leq 6 - y\end{array} \right.$

Solve the inequality: $2 ( 7 x - 3 ) - 9 \geq 8 x - 6 + 6 x$

Solve the inequality and graph the solution set. $5 x < - 35$

Solve the compound inequality. Graph the solution set (if one exists) and write it using interval notation. $- 2 < - 2 ( x - 5 ) \leq 18$

Which of the following points satisfies the system $\left\{ \begin{array} { l } x - 2 y \leq - 4 \\x - 4 y > - 6\end{array} \right.$

Solve: $| 4 x - 3 |$ ? 7

What is incorrect about the inequality $- 2 \leq 5 x - 1 < - 4$ ?

Graph the inequality. $\frac { x } { 5 } - \frac { y } { 4 } \geq 1$

If $a < b$ and $c < 0$ , then ac ________ bc

Graph the solution set of the system of inequalities. $\left\{ \begin{array} { l } 2 x + y \leq 4 \\y \geq x \\x \geq 0\end{array} \right.$

Solve, if possible: $- 6 x < - 18$ and $4 x + 1 \leq 9$