Question

solve for w.
-7 - 16 - 4w < 1 - 7w
write your answer with w first, followed by an inequality symbol.

Explanation:

Step1: Simplify left - hand side

First, simplify the left - hand side of the inequality $-7 - 16-4w$. Combine like terms: $-7-16=-23$, so the inequality becomes $-23 - 4w<1 - 7w$.

Step2: Add $7w$ to both sides

Add $7w$ to both sides of the inequality to get all the $w$ terms on one side. $-23 - 4w+7w<1 - 7w+7w$, which simplifies to $-23 + 3w<1$.

Step3: Add 23 to both sides

Add 23 to both sides of the inequality: $-23+23 + 3w<1 + 23$. This gives $3w<24$.

Step4: Divide both sides by 3

Divide both sides of the inequality $3w<24$ by 3. $\frac{3w}{3}<\frac{24}{3}$, so $w < 8$.

Answer:

$w<8$