Question

What is the solution set to the inequality mc002-1.jpg?
mc002-2.jpg
mc002-3.jpg
mc002-4.jpg
mc002-5.jpg

Answer 1

I can’t see the image files you named. Please either

- upload the images here, or
- copy and paste the inequality (or type it) into your message.

If you prefer, paste the exact text of each line (mc002-1.jpg … mc002-5.jpg) and say whether you want the answer in interval notation or set-builder form.

While you paste or upload, here’s a quick checklist for solving common inequality types so you’ll know what I’ll do once I can see the problem:

- Linear inequality (ax + b < 0 etc.): isolate x, remember to flip the inequality when multiplying or dividing by a negative number.
- Quadratic inequality (ax^2+bx+c < 0 or > 0): factor if possible, find roots, use a sign chart or test intervals between roots; include roots when inequality is ≤ or ≥.
- Rational inequality (p(x)/q(x) ≤ 0 etc.): factor numerator and denominator, find zeros and undefined points, use sign chart; exclude points where denominator = 0, include numerator zeros only when equality allowed.
- Absolute value (|...| < a, > a, ≤, ≥): convert to equivalent compound inequality (|E| < a → -a < E < a, etc.) and solve; for equations with absolute value on one side and expression on the other, consider cases.
- Compound inequalities (and/or): solve each part and intersect (for and) or union (for or) the solution sets.

Upload the images or paste the inequality and I’ll solve it step by step and give the final solution set.