Question

Solve for h.
-3(3h-2) ≤ - 7h-10

Answer 1

`\huge\boxed{\sf h \geq 8}`

Explanation:

Given inequality:

-3(3h - 2) ≤ -7h - 10

Distribute

-9h + 6 ≤ -7h - 10

Add 7h to both sides

-9h + 7h + 6 ≤ -10

-2h + 6 ≤ -10

Subtract 6 from both sides

-2h ≤ -10 - 6

-2h ≤ -16

Divide both sides by -2

h ≤ -16/-2

h ≥ 8

`\rule[225]{225}{2}`