Question

Solve for -1/3h< or = 6

Answer 1

An important thing to note with inequalities is that the inequality always flips when you multiply or divide both sides by a negative.
So you have,
-1/3h ≤ 6
and you multiply both sides by -3 to get
h ≥ -18
You can treat it like an equality usually, but that rule I stated above is important to remember.

Answer 2

`-(1)/(3)h\leq6\ \ \ |change\ signs\\\\(1)/(3)h\geq-6\ \ \ \ |divide\ both\ sides\ by\ (1)/(3)\ (multiply\ both\ sides\ by\ 3)\\\\\boxed{h\geq-18}\to\boxed{h\in[-18;\ \infty)}`