Translate the following statement to an inequality. Then, find the solution.

Question

Four times the sum of a number and eight is greater than or equal to negative four.
n ≥ -9
n ≤ -9
n ≥ -32
n ≤ -32

Answer 1

4 ( n + 8 ) ≥ - 4

4 ∙ n + 4 ∙ 8 ≥ - 4

4 n + 32 ≥ - 4

Subtract 32 to both sides

4 n + 32 - 32 ≥ - 4 - 32

4 n ≥ - 36

Divide both sides by 4

n ≥ - 36 / 4

n ≥ - 9