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Solve for $w$ . $\newline$ $-5 - w - 10 \leq 16 - 9(w - 9)$ $\newline$ Write your answer with $w$ first, followed by an inequality symbol. $\newline$ ______

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Solve linear inequalities

Full solution

Q. Solve for

w

.

\newline

-5 - w - 10 \leq 16 - 9(w - 9)

\newline

Write your answer with

w

first, followed by an inequality symbol.

\newline

______

Combine like terms: Combine like terms on the left side. $\newline$ $-5 - w - 10 \leq 16 - 9(w - 9)$ $\newline$ $-15 - w \leq 16 - 9(w - 9)$
Distribute $-9$ : Distribute the $-9$ on the right side. $\newline$ $-15 - w \leq 16 - 9w + 81$ $\newline$ $-15 - w \leq 97 - 9w$
Add $9w$ : Add $9w$ to both sides to get all the $w$ terms on one side. $\newline$ $-15 - w + 9w \leq 97 - 9w + 9w$ $\newline$ $-15 + 8w \leq 97$
Add $15$ : Add $15$ to both sides to isolate the $w$ term. $\newline$ $-15 + 15 + 8w \leq 97 + 15$ $\newline$ $8w \leq 112$
Divide by $8$ : Divide both sides by $8$ to solve for $w$ . $\frac{8w}{8} \leq \frac{112}{8}$ $w \leq 14$

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