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Inequalities

# Identify solutions to inequalities

A number is a solution to an inequality if plugging it in results in a true statement.

Is d = 9 a solution to the inequality below?

d > 1

yes
no

Solution:

Plug d = 9 into the inequality.

 d
>  1

 9
>  1 Plug in d = 9

It is true that 9 > 1. So, d = 9 is a solution.

Is v = 12 a solution to the inequality below?

v 9

yes
no

Solution:

Plug v = 12 into the inequality.

 v
≤  9

 12
≤  9 Plug in v = 12

It is false that 12 ≤ 9. So, v = 12 is not a solution.

Is c = 5 a solution to the inequality c < -21?

A. yes
B. no