Question

solve for h.
85 + 12h ≥ -81 + 15h - 98
write your answer with h first, followed by an inequality symbol.

Explanation:

Step1: Simplify the right - hand side

First, combine like terms on the right - hand side of the inequality: $-81-98=-179$, so the inequality becomes $85 + 12h\geq15h-179$.

Step2: Move the terms with h to one side

Subtract $12h$ from both sides: $85+12h - 12h\geq15h-12h - 179$, which simplifies to $85\geq3h - 179$.

Step3: Move the constant to the other side

Add 179 to both sides: $85 + 179\geq3h-179 + 179$, so $264\geq3h$.

Step4: Solve for h

Divide both sides by 3: $\frac{264}{3}\geq\frac{3h}{3}$, which gives $88\geq h$.

Answer:

$h\leq88$