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Solve for $w$ . $\newline$ $-2w + 1 > -7$

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Solve two-step linear inequalities

Full solution

Q. Solve for

w

.

\newline

-2w + 1 > -7

Isolate variable term: Isolate the variable term on one side of the inequality by subtracting $1$ from both sides. $\newline$ $-2w + 1 - 1 > -7 - 1$ $\newline$ $-2w > -8$
Divide by $-2$ : Divide both sides of the inequality by $-2$ to solve for $w$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $\frac{-2w}{-2} < \frac{-8}{-2}$ $\newline$ $w < 4$

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