Question

module 1 quiz (1 - 5)
100 points possible answered: 15/17
question 16
solve the inequality. write your answer in inequality notation, then graph the solution.
-22 < 8x + 2 < -6

Explanation:

Step1: Subtract 2 from all parts

Subtract 2 from each part of the compound - inequality $-22<8x + 2<-6$.
We get $-22-2<8x+2 - 2<-6 - 2$, which simplifies to $-24<8x<-8$.

Step2: Divide all parts by 8

Divide each part of the inequality $-24<8x<-8$ by 8.
We have $\frac{-24}{8}<\frac{8x}{8}<\frac{-8}{8}$, which simplifies to $-3 < x<-1$.

Answer:

Inequality notation: $-3 < x<-1$
To graph: Place an open - circle at $x = - 3$ and at $x=-1$, and draw a line segment between them on the number line.