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Compound Inequalities

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Write a compound inequality for the graph.

-3 ≤ x < 2

Solve for b.

b > -2

Write the inequality that represents the graph.

x < 1/2

Solve for a.

a < 3

Write a compound inequality for the word problem.

a < 13 or a ≥ 65

Read and answer.

11.2 ≤ x ≤ 11.4

Write an inequality.

2/3x + 5 > 17

Solve and graph the compound inequality.

y ≤ -4 or y < -3

Read and solve.

x < 23 and x > 33; 23 > x > 33

Solve for y.

No real numbers

Complete the statement: A compound inequality containing ______ is true if at least ______ of the inequalities is true.

OR, One

True or False? There are two types of compound inequalities.

True

Solve the inequality.

m ≤ -40

Solve the inequality.

all real numbers

Write a compound inequality to represent the image.

x < 6 or x > 9

A kite can be flown in wind speeds no less than 7 miles per hour and no more than 16 miles per hour. Write an inequality for the wind speeds at which the kite can fly.

7 ≤ x ≤ 16

Solve and graph the compound inequality:

-1 ≤ c < 2

Write a compound inequality for the graph.

x < -2 or x > 6

Solve the compound inequality:

-4 < x < -1

True or False? If false, correct with the correct the statement. When the graphs of compound inequalities overlap, the graph is called a union.

False. It's called an intersection.

Solve for d.

d ≥ -16

Solve the inequality.

v ≥ 0

Write a compound inequality for the graph.

0 ≤ x < 3

Complete the statement: A compound inequality containing ______ is only true if ________ inequalities are true.

AND, Both

Write the inequality: If 5 times a number is decreased by 2, the result is at most 26.

5x - 2 ≤ 26

Write the inequality and solve it.

2x + 3 < x - 4; x < -7

Write the inequality and solve.

-5n > 35 OR -5n < 10; n < -7 or n > -2

Solve and graph the compound inequality.

x > -5 or x < -8

Solve the compound inequality:

m > -1 or m < -6

Write a compound inequality to represent the image.

40 ≤ x ≤ 70