Solve the inequality. Express your answer using interval notation.
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D)no solution

Question

Quizplus · Accepted Answer

To solve the inequality, we need to isolate the absolute value expression. We first subtract 2 from both sides and obtain |x-3| < 5. The solution set for this inequality is the set of all x's that are within 5 units from 3 on the number line. This can be written as (-2,8). However, we need to exclude the endpoints since they do not satisfy the inequality. Therefore, the final solution is (-2, 8). Choice A represents this interval notation. Subtracting 5 from both sides yields 3x - 5 > -22, which simplifies to 3x > -17. Dividing both sides by 3 gives x > -17/3, which in interval notation is (-17/3, infinity). Therefore, the answer is A.

Solve the Inequality