Question

Solve: I 2x +5 I + 6 ≥ 4

Answer 1

Explanation:

This is an absolute value problem.

If we begin a tentative solution by subtracting 6 from both sides, we get

I 2x +5 I + 6 ≥ 4 => I 2x +5 I ≥ -2

Note well that I 2x +5 I has a value of 0 or greater; it cannot be negative.

Thus I 2x +5 I ≥ -2 has no solution.