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Solve for $w$ . $\newline$ $3w + 4 \leq 10$

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Solve two-step inequalities

Full solution

Q. Solve for

w

.

\newline

3w + 4 \leq 10

Isolate variable $w$ : Isolate the variable $w$ . We have the inequality $3w + 4 \leq 10$ . To isolate $w$ , we need to get rid of the $4$ that is being added to $3w$ . We do this by subtracting $4$ from both sides of the inequality. $3w + 4 - 4 \leq 10 - 4$
Simplify inequality: Simplify both sides of the inequality. $\newline$ After subtracting $4$ from both sides, we get: $\newline$ $3w \leq 6$
Divide sides for w: Divide both sides by $3$ to solve for $w$ . To get $w$ by itself, we divide both sides of the inequality by $3$ . $\frac{3w}{3} \leq \frac{6}{3}$
Find value of w: Simplify the inequality to find the value of $w$ . After dividing both sides by $3$ , we get: $w \leq 2$

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