Question

Solve the inequality ∣2x+1∣>9.

Show your work on paper.
a. x<−5 or x>4
b. -5
c. x>5
d. x<4

Answer 1

To solve the inequality |2x+1| > 9, consider two cases: 2x + 1 > 9 and - (2x + 1) > 9. The solution is x < -5 or x > 4.

Step-by-step explanation:

To solve the inequality |2x+1| > 9, we need to consider two cases:

Case 1: 2x + 1 > 9

Solving this inequality, we get: 2x > 8 => x > 4

Case 2: - (2x + 1) > 9

Simplifying this inequality, we get: -2x - 1 > 9 => -2x > 10 => x < -5

Therefore, the solution to the inequality is x < -5 or x > 4.