Deck 10: More on Inequalities

Question 1

Write interval notation.

A)
B)
C)
D)

Answer 1

D

Question 2

Write interval notation for the graph.

A)
B)
C)
D)

Answer 2

D

Question 3

Write interval notation.

A)
B)
C)
D)

Answer 3

C

Question 4

Write interval notation.

A) [0, 4]
B) (0, 4)
C) [0, 4)
D) (0 ,4]

Question 5

Choose the number that is a solution of the inequality.
f - 12 < -4

A) 10
B) 7
C) 8
D) 11

Question 6

Choose the number that is a solution of the inequality.
5t + 9 4t - 2

A) -12
B) -11
C) -14
D) -13

Question 7

Write interval notation for the graph.

A)
B)
C)
D)

Question 8

Write interval notation for the graph.

A)
B)
C)
D)

Question 9

Write interval notation for the graph.

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

Question 10

Write interval notation.

A)
B)
C)
D)

Question 11

Write interval notation for the graph.

A)
B)
C)
D)

Question 12

Write interval notation for the graph.

A) [0, 4)
B) (-4, 0]
C) [-4, 0)
D) (0, 4]

Question 13

Write interval notation.

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

Question 14

Choose the number that is a solution of the inequality.
-3n - 3 4n + 2

A) 7
B) 6
C) 8
D) 5

Question 15

Choose the number that is a solution of the inequality.
a - 5 < -8

A) -4
B) 1
C) 4
D) -1

Question 16

Write interval notation for the graph.

A) (-4, 0]
B) (0, 4]
C) [-4, 0)
D) [0, 4)

Question 17

Write interval notation.

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

Question 18

Write interval notation for the graph.

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

Question 19

Choose the number that is a solution of the inequality.
8n + 4 > 7n + 7

A) 1
B) 2
C) 0
D) 4

Question 20

Write interval notation.

A)
B)
C)
D)

Question 21

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 22

Solve.
-8x - (4x + 5) > 3 - (2x + 9)

A)
B)
C)
D)

Question 23

Solve.

A)
B)
C)
D)

Question 24

Solve.
1.1x + 2.9 > 0.3x + 1.22

A)
B)
C)
D)

Question 25

Solve.
-5(k - 5) < -7 + (-6k + 9)

A)
B)
C)
D)

Question 26

Solve.
3x + 9 < 24

A)
B)
C)
D)

Question 27

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 28

Solve and graph. Write the result in interval notation.
x - 10 < -6

A)
B)
C)
D)

Question 29

Solve.
15a - 15 > 5(2a - 9)

A)
B)
C)
D)

Question 30

Solve.

A)
B)
C)
D)

Question 31

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 32

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 33

Solve.

-

A)
B)
C)
D)

Question 34

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 35

Solve.
4(3x + 3) - 38 6x - 2

A)
B)
C)
D)

Question 36

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 37

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 38

Solve.

A)
B)
C)
D)

Question 39

Solve.
1.2x - 3 0.7x + 15.5

A)
B)
C)
D)

Question 40

Solve and graph. Write the result in interval notation.

A)
B)
C)
D)

Question 41

Solve.
-4(2x + 1) 3[3x - 2(x + 1)]

A)
B)
C)
D)

Question 42

Solve.
In order for a chemical reaction to remain stable, its Celsius temperature C must be no more than 51.57° C. At what Fahrenheit temperatures F will the reaction remain stable.

A)
B)
C)
D)

Question 43

Solve.

A)
B)
C)
D)

Question 44

Solve.
In order for a chemical reaction to take place, the Fahrenheit temperature F of the reagents must be at least 184.81° F. At what Celsius temperatures C will the reaction occur?

A)
B)
C)
D)

Question 45

Solve.

A)
B)
C)
D)

Question 46

Solve.
A salesperson has two job offers. Company A offers a weekly salary of $360 plus commission of 12% of sales. Company B offers a weekly salary of $720 plus commission of 6% of sales. What is the amount of sales above
Which Company A's offer is the better of the two?

A) $6100
B) $3000
C) $12,000
D) $6000

Question 47

Solve.
Jon has 1155 points in his math class. He must have 86% of the 1500 points possible by the end of the term to receive credit for the class. What is the minimum number of additional points he must earn by the end of the
Term to receive credit for the class?

A) 345 points
B) 135 points
C) 993 points
D) 1290 points

Question 48

Find the indicated intersection or union.
{q, s, u, v, w, x, y, z} {q, s, y, z}

A) {s, u, v, w, x, z}
B) {s, u, w}
C) {v, x}
D) {q, s, u, v, w, x, y, z}

Question 49

Find the indicated intersection or union.
{q, s, u, v, w, x, y, z} {q, s, y, z}

A) {q, s, u, v, w, y}
B) {s, u, v, w, x, z}
C) {v, x}
D) {q, s, y, z}

Question 50

Solve.
54 - (5x + 4) 2(x - 5) + 5x

A)
B)
C)
D)

Question 51

Find the indicated intersection or union.
{1, 8, 14, 18} {8, 18, 24, 30}

A) {8, 18, 24}
B) {1, 8, 14, 18, 24, 30}
C) {1, 8, 18, 24}
D) {8, 18}

Question 52

Solve.
3(3x + 1) < 5 - 5(3x - 3)

A)
B)
C)
D)

Question 53

Solve.

A)
B)
C)
D)

Question 54

Find the indicated intersection or union.

A) {s, u, w}
B) {s}
C) {v, x}
D) {q, s, u, v, w, x, y}

Question 55

Solve.
The equation y = 0.005x + 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 $1273?

A)
B)
C)
D)

Question 56

Solve.

A)
B)
C)
D)

Question 57

Solve.
Company A rents copiers for a monthly charge of $160 plus 8 cents per copy. Company B rents copiers for a monthly charge of $320 plus 4 cents per copy. What is the number of copies above which Company A's charges
Are the higher of the two?

A) 4100 copies
B) 2000 copies
C) 8000 copies
D) 4000 copies

Question 58

Solve.
Photography reprints cost $0.52 each at a local photo shop. Through the mail, they cost $0.44 each plus $1.20 postage and handling. How many reprints must a customer purchase to make it less expensive to use mail
Order?

A) {n|n > 16 reprints}
B) {n|n > 15 reprints}
C) {n|n > 18 reprints}
D) {n|n > 19 reprints}

Question 59

Find the indicated intersection or union.
{4, 9, 14, 16, 23} 9, 16, 23, 28}

A) {4, 9, 16, 23}
B) {4, 9, 14, 16, 23, 28}
C) {9, 16, 23}
D) {9, 16, 23, 28}

Question 60

Solve.
0.2(4x - 3) < 1.2 - (x + 2)

A)
B)
C)
D)

Question 61

Solve and graph.

A)
B)
C)
D)

Question 62

Find the indicated intersection or union.

A) {q, s, u, v, w, x, y}
B) {s, u, w}
C) {q, s, v, w, x, y, z}
D) {s, u, v, w, x, z}

Question 63

Find the indicated intersection or union.

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

Question 64

Graph and write interval notation.

A)
B)
C)
D)

Question 65

Solve and graph.

A)
B)
C)
D)

Question 66

Graph and write interval notation.

A)
B)
C)
D)

Question 67

Graph and write interval notation.

A)
B)
C)
D)

Question 68

Graph and write interval notation.

A)
B)
C)
D)

Question 69

Solve and graph.

A)
B)
C)
D)

Question 70

Graph and write interval notation.

A)
B)
C)
D)

Question 71

Solve and graph.
4x > 4 and x + 5 < 5

A)
B)
C)
D)

Question 72

Graph and write interval notation.

A)
B)
C)
D)

Question 73

Solve and graph.

A)
B)
C)
D)

Question 74

Solve and graph.
5x - 1 < 4 and x - 2 > -1

A)
B)
C)
D)

Question 75

Graph and write interval notation.

A)
B)
C)
D)

Question 76

Find the indicated intersection or union.

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

Question 77

Solve and graph.
6x + 2 < -16 and 4 - 8x > -4

A)
B)
C)
D)

Question 78

Solve and graph.

A)
B)
C)
D)

Question 79

Solve.
-6 < x + 9 < 5

A) (3, 14)
B) (-15, 14)
C) (-15, -4)
D) (-14, -3)

Question 80

Solve.
6 < 2x 2

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