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Solve for $h$ . $\newline$ $-5 \geq 5(h - 10)$

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Solve advanced linear inequalities

Full solution

Q. Solve for

h

.

\newline

-5 \geq 5(h - 10)

Distribute and Simplify: First, distribute the $5$ across the terms inside the parentheses. $-5 \geq 5(h - 10)$ $-5 \geq 5h - 50$
Isolate Variable Term: Next, isolate the variable term $5h$ by adding $50$ to both sides of the inequality. $\newline$ $-5 + 50 \geq 5h - 50 + 50$ $\newline$ $45 \geq 5h$
Divide to Solve: Now, divide both sides of the inequality by $5$ to solve for $h$ . $\newline$ $\frac{45}{5} \geq \frac{5h}{5}$ $\newline$ $9 \geq h$
Rewrite Inequality: Finally, rewrite the inequality with $h$ first. $h \leq 9$

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