Question

If \( |x + 3| + x>1 \), then \( x \in \):

• A. \( (-5, -2) \)
• B. \( (-1, \infty) \)
• C. \( (-5, -2) \cup (-1, \infty) \)
• D. None of these

Hint:

When solving inequalities involving absolute values, split the inequality into cases based on the sign of the expression inside the absolute value.

Answer 1

The Correct Option is C

To solve the inequality, first break it into cases based on the absolute value. After solving, we get \( x \in (-5, -2) \cup (-1, \infty) \).