Question

solve for w.
20 + 10w < -18w + 1 - 9
write your answer with w first, followed by an inequality symbol.

Explanation:

Step1: Simplify the right - hand side

First, simplify $-18w + 1-9$ to $-18w - 8$. So the inequality becomes $20 + 10w<-18w - 8$.

Step2: Add $18w$ to both sides

Adding $18w$ to both sides gives $20+10w + 18w<-18w-8 + 18w$, which simplifies to $20 + 28w<-8$.

Step3: Subtract 20 from both sides

Subtracting 20 from both sides: $20 + 28w-20<-8 - 20$, resulting in $28w<-28$.

Step4: Divide both sides by 28

Dividing both sides by 28: $\frac{28w}{28}<\frac{-28}{28}$, so $w < - 1$.

Answer:

$w<-1$