solve the compound inequality. 3w - 3 > 6 or 4w - 6 < - 10. graph the solution on the number line. if there…

Explanation:

Step1: Solve the first inequality

Solve $3w - 3>6$. Add 3 to both sides: $3w-3 + 3>6 + 3$, which simplifies to $3w>9$. Divide both sides by 3: $w > 3$.

Step2: Solve the second inequality

Solve $4w-6<-10$. Add 6 to both sides: $4w-6 + 6<-10 + 6$, which simplifies to $4w<-4$. Divide both sides by 4: $w<-1$.

Step3: Analyze the 'or' compound - inequality

The compound - inequality is $w > 3$ or $w<-1$.

Answer:

The solution is $w<-1$ or $w > 3$. On the number - line, you would shade to the left of $- 1$ (not including $-1$) and to the right of 3 (not including 3).