SAT Practice Exam

« Previous Problem - Proportions    Next Problem - Cancelling Fractions »

Inequalities

Given the following number set A = {-1,4,0,2,7}
How many of the numbers in A satisfy the inequality 5y + 6 < 14

---

Answer

First we solve the inequality

Subtract 6 from both sides
5y + 6 - 6 < 14 - 6
5y < 8

Divide both sides by 5 to solve for y

5y
5

<

8

5

y < 1.6

Check our answer range for y against {-1,4,0,2,7}

We start with an answer of 0

Compare to -1

-1 < 1.6, so our answer becomes 0 + 1 = 1

Compare to 4

4 >= than 1.6, so our answer remains at 1

Compare to 0

0 < 1.6, so our answer becomes 1 + 1 = 2

Compare to 2

2 >= than 1.6, so our answer remains at 2

Compare to 7

7 >= than 1.6, so our answer remains at 2