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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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