SAT Practice Exam

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Inequalities

Given the following number set A = {-12,11,-7,9,6}
How many of the numbers in A satisfy the inequality 9s + 13 < 14

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Answer

First we solve the inequality

Subtract 13 from both sides
9s + 13 - 13 < 14 - 13
9s < 1

Divide both sides by 9 to solve for s

9s
9

<

1

9

s < 0.11111111111111

Check our answer range for s against {-12,11,-7,9,6}

We start with an answer of 0

Compare to -12

-12 < 0.11111111111111, so our answer becomes 0 + 1 = 1

Compare to 11

11 >= than 0.11111111111111, so our answer remains at 1

Compare to -7

-7 < 0.11111111111111, so our answer becomes 1 + 1 = 2

Compare to 9

9 >= than 0.11111111111111, so our answer remains at 2

Compare to 6

6 >= than 0.11111111111111, so our answer remains at 2