Question

Which of the following values is a solution for the inequality statement? Select all that apply. 11 > a/4 -16 55 -150 210 -78 108

Answer 1

55, -150, -78

Explanation:

The given inequality is:

`11>(a)/(4)-16`

Adding 16 to both sides, we get:

`11+16>(a)/(4)-16+16\\\\ 27>(a)/(4)`

Multiplying both sides by 4, we get:

`27 * {4}>(a)/(4) * 4\\\\ 108>a`

Hence, the solution to the inequality is 108 > a or this can be written as a < 108

This means, the values less than 108 are a solution of the given inequality. 108 is not a part of the solution as the inequality symbol says less than 108.

Among the given options following are the values that are less than 108 and thus will satisfy the inequality:

55, -150, -78