Solve the inequality. Graph the solution set.

Name: Solve the inequality. Graph the solution set.
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Question

Quizplus · Accepted Answer

The inequality is |2x+3| < 7, which can be rewritten as: -7 < 2x+3 < 7 Subtracting 3 from all parts gives: -10 < 2x < 4 Dividing by 2 (and flipping the direction of the inequality, since we are dividing by a negative number) gives: -5 > x > 2 This is the solution set, which can be graphed as a shaded region between x=-5 and x=2 on a number line. Choice C has the correct endpoints and direction of shading.

Solve the Inequality. Graph the Solution Set