Given:
an inequality is given as -8 < 3x+1 < 7.
Find:
we have to solve the inequality.
Step-by-step explanation:
We will solve the inequality as follows
[tex]\begin{gathered} -8<3x+1<7 \\ subtract\text{ 1, we get} \\ -8-1<3x+1-1<7-1 \\ -9<3x<6 \\ divide\text{ the inequality by 3, we get} \\ -\frac{9}{3}<\frac{3x}{3}<\frac{6}{3} \\ -3Therefore, the correct option is B, i.e. -3 < x < 2.