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Solve the following inequality.-8 < 3x + 1 < 7

Solve the following inequality.-8 < 3x + 1 < 7-example-1
User Joshua Finch
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1 Answer

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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.
User Kevinniel
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