Solve for h. -1(h + 1) ≤ 17 ______

Distribute -1: Distribute -1 across the parentheses in the inequality -1(h + 1) ≤ 17. -1 * h + -1 * 1 ≤ 17 -h - 1 ≤ 17Add 1: Add 1 to both sides of the inequality to isolate the term containing h. -h - 1 + 1 ≤ 17 + 1 -h ≤ 18Divide by -1: Divide both sides of the inequality by -1 to solve for h. Remember that dividing by a negative number reverses the inequality sign. -h / -1 ≥ 18 / -1 h ≥ -18

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Solve for $h$ . $\newline$ $-1(h + 1) \leq 17$

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Math Problems

Algebra 1

Solve advanced linear inequalities

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Q. Solve for

h

\newline

-1(h + 1) \leq 17

Distribute $-1$ : Distribute $-1$ across the parentheses in the inequality $-1(h + 1) \leq 17$ . $\newline$ $-1 \times h + -1 \times 1 \leq 17$ $\newline$ $-h - 1 \leq 17$
Add $1$ : Add $1$ to both sides of the inequality to isolate the term containing $h$ . $\newline$ $-h - 1 + 1 \leq 17 + 1$ $\newline$ $-h \leq 18$
Divide by $-1$ : Divide both sides of the inequality by $-1$ to solve for $h$ . Remember that dividing by a negative number reverses the inequality sign. $\frac{-h}{-1} \geq \frac{18}{-1}$ $h \geq -18$