Question

Solve the inequality.

−8 − 3x ≥ 2(30 + 3x) + 4

The solution is .

Answer 1

x ≤-8

Explanation:

−8 − 3x ≥ 2(30 + 3x) + 4

-3x ≥ 60+6x+4+8

-3x ≥ 64+8+6x

-3x≥ 72+6x

-3x-6x≥ 72

-9x≥ 72

Now I want x to be positive and to do this i must multiply both sides by -1, but careful the inequality now swaps sides

9x/9 ≤ -72/9

x ≤-8