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Solve for $h$ . $\newline$ $2(h + 14) - 18 \leq -2$

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Solve linear inequalities

Full solution

Q. Solve for

h

.

\newline

2(h + 14) - 18 \leq -2

Distribute and Simplify: First, distribute the $2$ into the parentheses. $2(h + 14) - 18 \leq -2$ $2h + 2(14) - 18 \leq -2$ $2h + 28 - 18 \leq -2$
Combine Like Terms: Next, combine like terms on the left side of the inequality. $\newline$ $2h + 28 - 18 \leq -2$ $\newline$ $2h + 10 \leq -2$
Isolate Variable Term: Now, isolate the variable term by subtracting $10$ from both sides of the inequality. $\newline$ $2h + 10 - 10 \leq -2 - 10$ $\newline$ $2h \leq -12$
Solve for h: Finally, solve for h by dividing both sides of the inequality by $2$ . $\newline$ $\frac{2h}{2} \leq \frac{-12}{2}$ $\newline$ $h \leq -6$

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