Find the solution set for the inequality.
-|4m + 5| 4

Question

Find the solution set for the inequality.
-|4m + 5| > 4

Quizplus · Accepted Answer

There are two cases to consider: Case 1: 4m+5 > 4 Solving for m, we get m > -1/4. Case 2: 4m+5 < -4 Solving for m, we get m < -9/4. Therefore, the solution set is m < -9/4 or m > -1/4, which is equivalent to m < -2.25 or m > -0.25. The only choice that represents this solution set is B. We can solve this inequality by breaking it into two cases: Case 1: 4m + 5 > 4 Solving for m, we get: 4m + 5 > 4 4m > -1 m > -1/4 Case 2: -(4m + 5) > 4 Solving for m, we get: -(4m + 5) > 4 -4m - 5 > 4 -4m > 9 m < -9/4 Therefore, the solution set is m < -9/4 or m > -1/4, which can be written as: (-∞, -9/4) U (-1/4, ∞) The answer choice that matches this solution set is B.

Find the Solution Set for the Inequality