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Solve for $w$ . $\newline$ $-11 \leq w - 15 \leq 3$ $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A) $4 \leq w \leq 18$ $\newline$ (B) $-26 \leq w \leq -12$ $\newline$ (C) $4 \leq w \leq -12$ $\newline$ (D) $-26 \leq w \leq 18$

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Solve compound inequalities

Full solution

Q. Solve for

w

.

\newline

-11 \leq w - 15 \leq 3

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

4 \leq w \leq 18

\newline

(B)

-26 \leq w \leq -12

\newline

(C)

4 \leq w \leq -12

\newline

(D)

-26 \leq w \leq 18

Analyze Compound Inequality: Analyze the given compound inequality $-11 \leq w - 15 \leq 3$ . Which operation should we use to isolate $w$ ? In $w - 15$ , $15$ is being subtracted from $w$ . Addition should be used to isolate $w$ .
Use Addition to Isolate: Solve for $w$ . $-11 \leq w - 15 \leq 3$ Add $15$ to all three parts of the inequality to isolate $w$ . $-11 + 15 \leq w - 15 + 15 \leq 3 + 15$ $4 \leq w \leq 18$

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