Question

Find the solution set of the inequality. \qquad16x - 7 \leq -7116x−7≤−71

Answer 1

x < -4

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Answer 2

`x \le -4`

Explanation:

Given

`\qquad16x - 7 \leq -71`

Required

Solve

Start by adding 7 to both sides

`\qquad16x - 7 + 7 \leq -71 + 7`

`\qquad16x - 7 + 7 \leq -64`

`\qquad16x \leq -64`

Divide both sides by 16

`(16x)/(16) \leq (-64)/(16)`

`(16x)/(16) \leq -(64)/(16)`

`x \leq -(64)/(16)`

`x \le -4` --- The solution