Question

What is the solution, if any, to the inequality mc021-1.jpg?
all real numbers
no solution
mc021-2.jpg
mc021-3.jpg

Answer 1

I can’t see the attached image files (mc021-1.jpg etc.). Could you either

- paste the inequality here as text (or as LaTeX), or
- re-upload the image(s)?

If helpful, here are quick instructions for how I’ll solve it once you provide it:

- For polynomial/quadratic inequalities: move everything to one side, factor (or use the quadratic formula), find roots, then use a sign-chart (test intervals) or use parabola direction to pick intervals where the expression has the required sign.
- For rational inequalities: put on one side, factor numerator and denominator, find zeros and vertical asymptotes (critical points), make a sign-chart, and exclude denominator zeros.
- For absolute-value inequalities: split into cases based on the expression inside the absolute value, or rewrite |A| < B as −B < A < B (if B ≥ 0), etc.

Paste the inequality and I’ll solve it step-by-step and give the correct choice (all real numbers / no solution / specific interval).