Question

What is the solution to 3/2b + 5 < 17? Explain how.

(1) b < 8

(2) b > 8

(3) b < 18

(3) b > 18

Answer 1

`\blue{b < 8}`

Answer 1 is correct

Explanation:

`(3)/(2) b + 5 < 17`

Take 5 to the right side.

`(3)/(2) b < 17 - 5`

`(3b)/(2) < 12`

Multiply both sides by 2.

`3b <12 * 2`

`3b < 24`

Divide both sides by 3.

`b < 8`