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$Solve for w. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 53 w+13 < 56 w+16$

Solve for $w$ .\ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ 53w+13 < 56w+16

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Solve multi-step inequalities

Full solution

Q. Solve for

w

.\ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

53w+13 < 56w+16

Isolate variable w: Isolate the variable w on one side of the inequality by subtracting $53w$ from both sides. $\newline$ 53w + 13 - 53w < 56w + 16 - 53w $\newline$ 13 < 3w + 16
Subtract $16$ : Subtract $16$ from both sides to further isolate the variable term. $\newline$ 13 - 16 < 3w + 16 - 16 $\newline$ -3 < 3w
Divide by $3$ : Divide both sides by $3$ to solve for $w$ .\frac{-3}{3} < \frac{3w}{3}-1 < w

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