Questions: Solve. x - 28 > -15 If all real numbers are solutions, click on "All reals". If there is no solution, click on "No solution".

Solution Steps

To solve the inequality \(|x| - 28 > -15\), we first isolate the absolute value expression. Then, we consider the two cases for the absolute value: one where the expression inside is positive and one where it is negative. Solve each case separately to find the range of \(x\).

We start with the inequality: \[ |x| - 28 > -15 \] Adding 28 to both sides gives: \[ |x| > 13 \]

The inequality \( |x| > 13 \) leads to two cases:

1. \( x > 13 \)
2. \( x < -13 \)

The solutions from both cases can be combined to express the complete solution set: \[ (-\infty < x < -13) \cup (13 < x < \infty) \]

Final Answer