ANSWER:
A)
[tex]-1\le\: x<2[/tex]
B)
C)
[tex]\: \lbrack-1,\: 2)[/tex]
STEP-BY-STEP EXPLANATION:
We have the following compound inequality
[tex]-7\le\: 5x-2<8[/tex]
A) Solve the inequality for x.
[tex]\begin{gathered} -7+2\le\: 5x-2+2<8+2 \\ \frac{-5}{5}\le\: \frac{5x}{5}<\frac{10}{5} \\ -1\le\: x<2 \end{gathered}[/tex]
B) Graph the compound inequality.
C) Enter the solution interval notation.
In its interval form it would be:
[tex]\: \lbrack-1,\: 2)[/tex]
