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Must show work-Solve the conjunction and describe the solution set. −5 < 2x + 3 < 9

Sagot :

MrRoyalidn

The solution set of the inequality −5 < 2x + 3 < 9 is (-4,3)

How to solve the inequality?

The compound inequality is given as:

−5 < 2x + 3 < 9

Expand the inequality

−5 < 2x + 3 or 2x + 3 < 9

Rewrite as:

2x + 3 > -5 or 2x + 3 < 9

Subtract 3 from both sides

2x > -8 or 2x < 6

Divide both sides by 2

x > -4 or x < 3

Rewrite as:

(-4,3)

Hence, the solution set of the inequality is (-4,3)

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