Solve - x/6 ≥ 3

A. x ≤ 18

B. x ≥ - 18

C. x ≥ 18

D. x ≤ - 18

The answer is D.

First you multiply each side by 6 to get

-x>=3

Next you multiply both sides by - 1 BUT you need to remember to flip the sign. Whenever we multiply or divide by a negative the sign flips so we would end up getting

x<=-18

D. x ≤ - 18

Step-by-step explanation:

-x/6 ≥ 3

Multiply both sides by 6.

-x ≥ 3 * 6

-x ≥ 18

Multiply both sides by - 1 and reverse the inequality.

x ≤ 18 * - 1

x ≤ - 18