Question

5y − 8 > 32 Solve the inequality above. Which of the following is correct? A. y > 8

B. y < 8
C. y > 6
D. y < 6

Answer 1

A

Explanation:

`= 5y - 8 > 32 \: \: \: \: \: \: \: \: \: \: \: \: \\ = 5y - 8 + 8 > 32 + 8 \\ = 5y > 40 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = (5y)/(5) > (40)/(5) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = y > 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:`

Answer 2

Answer: y > 8

Explanation:

In order to solve this inequality, I am going to isolate x.

`\sf{5y-8 > 32}`

Add 8 to both sides:

`\sf{5y > 40}`

Divide both sides by 5:

`\sf{y > 8}`

Therefore, y > 8.