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Solve for $w$ . $\newline$ -3 - (-1w) > 2

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Solve multi-step inequalities

Full solution

Q. Solve for

w

.

\newline

-3 - (-1w) > 2

Isolate variable term: Isolate the variable term by adding $3$ to both sides of the inequality. $\newline$ -3 - -1w > 2 $\newline$ -3 + 3 - -1w > 2 + 3 $\newline$ -1w > 5
Divide by $-1$ : Since $-1w$ is the same as $-w$ , we can divide both sides by $-1$ to solve for $w$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ \frac{-1w}{-1} < \frac{5}{-1} $\newline$ w < -5

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