Question 1

Graph and write interval notation.
-$$- 3 \leq x < 1$$

Accepted Answer

A)  $[ - 3,1 )$
  
B)  $( - 3,1 ]$
  
C)  $( - 3,1 )$
  
D)  $[ - 3,1 ]$
  
A)  $[ - 3,1 )$
  
B)  $( - 3,1 ]$
  
C)  $( - 3,1 )$
  
D)  $[ - 3,1 ]$
  A

Question 2

Solve.
-$$- \frac { 1 } { 3 } \leq \frac { 3 x - 1 } { 9 } < \frac { 1 } { 3 }$$

Accepted Answer

A)  $\left( - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)$ 
B)  $\left[ - \frac { 8 } { 9 } , \frac { 10 } { 9 } \right)$ 
C)  $\left( - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right]$ 
D)  $\left[ - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)$ 
A)  $\left( - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)$ 
B)  $\left[ - \frac { 8 } { 9 } , \frac { 10 } { 9 } \right)$ 
C)  $\left( - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right]$ 
D)  $\left[ - \frac { 2 } { 3 } , \frac { 4 } { 3 } \right)$ D

Question 3

Graph and write interval notation.
-$x > 0$ and $x < 5$

Accepted Answer

A)  $( 0,5 )$
  
B)  $[ 0,5 ]$
  
C)  $[ 0,5 )$
  
D)  $( 0,5 ]$
  
A)  $( 0,5 )$
  
B)  $[ 0,5 ]$
  
C)  $[ 0,5 )$
  
D)  $( 0,5 ]$
  A

Question 4

Solve.
-$- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )$

Accepted Answer

A)  $( \infty, 52 )$ 
B)  $( \infty , - 2 )$ 
C)  $( \infty , 48 )$ 
D)  $( \infty , - 52 )$ 
A)  $( \infty, 52 )$ 
B)  $( \infty , - 2 )$ 
C)  $( \infty , 48 )$ 
D)  $( \infty , - 52 )$

Question 5

Solve.
-The equation y = 0.002x - 0.30 can be used to determine the profit y, in dollars, of producing x items. How many items x must be produced so the profit will be at least $3075?

Accepted Answer

A)  $\{ x \mid 0 < x \leq 1,537,649 \}$ 
B)  $\{ x \mid x \geq 1,537,350 \}$ 
C)  $\{ x \mid x \geq 1,536,650 \}$ 
D)  $\{ x \mid x \geq 1,537,650 \}$ 
A)  $\{ x \mid 0 < x \leq 1,537,649 \}$ 
B)  $\{ x \mid x \geq 1,537,350 \}$ 
C)  $\{ x \mid x \geq 1,536,650 \}$ 
D)  $\{ x \mid x \geq 1,537,650 \}$

Question 6

Solve.
-$$0.2 ( 4 x - 3 ) < 1.5 - ( x + 4 )$$

Accepted Answer

A)  $\left( \infty , \frac { 61 } { 18 } \right)$ 
B)  $\left( - \frac { 19 } { 18 } , \infty \right)$ 
C)  $\left( \infty , - \frac { 19 } { 18 } \right)$ 
D)  $\left( \frac { 61 } { 18 } , \infty \right)$ 
A)  $\left( \infty , \frac { 61 } { 18 } \right)$ 
B)  $\left( - \frac { 19 } { 18 } , \infty \right)$ 
C)  $\left( \infty , - \frac { 19 } { 18 } \right)$ 
D)  $\left( \frac { 61 } { 18 } , \infty \right)$

Question 7

Solve and graph. Write the result in interval notation.
-$$\frac { 5 } { 8 } x \geq 5$$

Accepted Answer

A)  $[ 5 , \infty )$
  
B)  $( \infty , 5 ]$
  
C)  $( \infty , 8 ]$
  
D)  $[ 8 , \infty )$
  
A)  $[ 5 , \infty )$
  
B)  $( \infty , 5 ]$
  
C)  $( \infty , 8 ]$
  
D)  $[ 8 , \infty )$

Question 8

Write interval notation.
-$\{ x \mid - 6 < x < - 2 \}$

Accepted Answer

A)  $( - 6 , - 2 )$ 
B)  $[ - 6 , - 2 )$ 
C)  $( - 6 , - 2 ]$ 
D)  $[ - 6 , - 2 ]$ 
A)  $( - 6 , - 2 )$ 
B)  $[ - 6 , - 2 )$ 
C)  $( - 6 , - 2 ]$ 
D)  $[ - 6 , - 2 ]$

Question 9

Find the indicated intersection or union.
-$\{ q , s , u , v , w , x \} \cap \varnothing$

Accepted Answer

A)  $\{ q , s , u , v , w \}$ 
B)  $\varnothing$ 
C)  $\{ q , s , u , v , w , x \}$ 
D)  $\{ q \}$ 
A)  $\{ q , s , u , v , w \}$ 
B)  $\varnothing$ 
C)  $\{ q , s , u , v , w , x \}$ 
D)  $\{ q \}$

Question 10

Solve.
-$9 < 3 x \leq 18$

Accepted Answer

A)  $[ - 3 , - 6 )$ 
B)  $( 3,6 ]$ 
C)  $( - 3 , - 6 ]$ 
D)  $[ 3,6 )$ 
A)  $[ - 3 , - 6 )$ 
B)  $( 3,6 ]$ 
C)  $( - 3 , - 6 ]$ 
D)  $[ 3,6 )$

Question 11

Solve.
--8 < x + 4 < 6

Accepted Answer

A) (-4, 10) 
B) (-10, 4) 
C) (-12, 10) 
D) (-12, 2) 
A) (-4, 10) 
B) (-10, 4) 
C) (-12, 10) 
D) (-12, 2)

Question 12

Solve.
-A salesperson has two job offers. Company A offers a weekly salary of $560 plus commission of 16% of sales. Company B offers a weekly salary of $1120 plus commission of 8% of sales. What is the amount of sales above
Which Company A's offer is the better of the two?

Accepted Answer

A) $3500 
B) $7000 
C) $7100 
D) $14,000 
A) $3500 
B) $7000 
C) $7100 
D) $14,000

Question 13

Solve and graph.
-$- 6 < 3 x + 9$ and $4 x + 5 < 1$

Accepted Answer

A)  $[ - 5 , - 1 ]$
  
B)  $[ - 5 , - 1 )$
  
C)  $( - 5 , - 1 )$
  
D)  $( - 5 , - 1 ]$
  
A)  $[ - 5 , - 1 ]$
  
B)  $[ - 5 , - 1 )$
  
C)  $( - 5 , - 1 )$
  
D)  $( - 5 , - 1 ]$

Question 14

Solve and graph. Write the result in interval notation.
-$$\text { f } - 8 \leq - 2$$

Accepted Answer

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

Question 15

Write interval notation.
-$\{ x \mid 2 \leq x \leq 6 \}$

Accepted Answer

A)  $( 2,6 ]$ 
B)  $( 2,6 )$ 
C)  $[ 2,6 )$ 
D)  $[ 2,6 ]$ 
A)  $( 2,6 ]$ 
B)  $( 2,6 )$ 
C)  $[ 2,6 )$ 
D)  $[ 2,6 ]$

Question 16

Graph and write interval notation.
-$x  - 1$

Accepted Answer

A)  $( - 1,3 )$
  
B)  $[ - 1,3 ]$
  
C)  $[ - 1,3 )$
  
D)  $( - 1,3 ]$
  
A)  $( - 1,3 )$
  
B)  $[ - 1,3 ]$
  
C)  $[ - 1,3 )$
  
D)  $( - 1,3 ]$

Question 17

Solve.
-$$3 \geq - x > - 7$$

Accepted Answer

A)  $[ - 3,7 )$ 
B)  $( - 3,7 ]$ 
C)  $( - 7,3 ]$ 
D)  $[ 3,7 )$ 
A)  $[ - 3,7 )$ 
B)  $( - 3,7 ]$ 
C)  $( - 7,3 ]$ 
D)  $[ 3,7 )$

Question 18

Write interval notation for the graph. 
-

Accepted Answer

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

Question 19

Solve and graph. Write the result in interval notation.
-3x < -6

Accepted Answer

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

Question 20

Find the indicated intersection or union.
-$\{ 3,8,13,18 \} \cup \{ 8,18,20,28 \}$

Accepted Answer

A)  $\{ 8,18 \}$ 
B)  $\{ 3,8,13,18,20,28 \}$ 
C)  $\{ 3,8,18,20 \}$ 
D)  $\{ 8,18,20 \}$ 
A)  $\{ 8,18 \}$ 
B)  $\{ 3,8,13,18,20,28 \}$ 
C)  $\{ 3,8,18,20 \}$ 
D)  $\{ 8,18,20 \}$

Graph and write interval notation. - $- 3 \leq x < 1$ $Graph and write interval notation. - - 3 \leq x < 1$

Solve. - $- \frac { 1 } { 3 } \leq \frac { 3 x - 1 } { 9 } < \frac { 1 } { 3 }$

Graph and write interval notation. - $x > 0$ and $x < 5$

Solve. - $- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )$

Solve. -The equation y = 0.002x - 0.30 can be used to determine the profit y, in dollars, of producing x items. How many items x must be produced so the profit will be at least $3075?

Solve. - $0.2 ( 4 x - 3 ) < 1.5 - ( x + 4 )$

Solve and graph. Write the result in interval notation. - $\frac { 5 } { 8 } x \geq 5$ $Solve and graph. Write the result in interval notation. - \frac { 5 } { 8 } x \geq 5$

Write interval notation. - $\{ x \mid - 6 < x < - 2 \}$

Find the indicated intersection or union. - $\{ q , s , u , v , w , x \} \cap \varnothing$

Solve. - $9 < 3 x \leq 18$

Solve. --8 < x + 4 < 6

Solve. -A salesperson has two job offers. Company A offers a weekly salary of $560 plus commission of 16% of sales. Company B offers a weekly salary of $1120 plus commission of 8% of sales. What is the amount of sales above Which Company A's offer is the better of the two?

Solve and graph. - $- 6 < 3 x + 9$ and $4 x + 5 < 1$

Solve and graph. Write the result in interval notation. - $\text { f } - 8 \leq - 2$ $Solve and graph. Write the result in interval notation. - \text { f } - 8 \leq - 2$

Write interval notation. - $\{ x \mid 2 \leq x \leq 6 \}$

Graph and write interval notation. - $x < 3$ and $x > - 1$

Solve. - $3 \geq - x > - 7$

Write interval notation for the graph. -

Solve and graph. Write the result in interval notation. -3x < -6

Find the indicated intersection or union. - $\{ 3,8,13,18 \} \cup \{ 8,18,20,28 \}$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

Filters

Exam 9: More on Inequalities

Graph and write interval notation. - −3≤x<1- 3 \leq x < 1−3≤x<1

Solve. - −13≤3x−19<13- \frac { 1 } { 3 } \leq \frac { 3 x - 1 } { 9 } < \frac { 1 } { 3 }−31​≤93x−1​<31​

Graph and write interval notation. - x>0x > 0x>0 and x<5x < 5x<5

Solve. - −5(k−9)<−2+(−6k−5)- 5 ( \mathrm { k } - 9 ) < - 2 + ( - 6 \mathrm { k } - 5 )−5(k−9)<−2+(−6k−5)