Question

Solve the following compound inequality.

3x+1<−5 OR 5x−1>29

a) x<−2
b) x<−2 OR x>6
c) x<−3 OR x>7
d) x=−2

Answer 1

The compound inequality is solved by splitting it into two separate inequalities, solving each individually, and combining the solutions. The correct answer is x < -2 OR x > 6.

Step-by-step explanation:

The question asks us to solve the compound inequality with two parts: 3x + 1 < -5 OR 5x - 1 > 29.

1. First, we solve the inequality 3x + 1 < -5:
   
2. Next, we solve the inequality 5x - 1 > 29:
   
3. The solution to the compound inequality is the union of the solutions to each inequality: x < -2 OR x > 6,

Therefore, the correct answer is option b) x < -2 OR x > 6.