Question

What is the solution of the inequality ? Include the appropriate inequality symbol in your
response.

Answer 1

I don't see the inequality in your message — could you paste it (for example "2x + 3 ≤ 7" or "x^2 − 4x + 3 > 0")? Once you do I will solve it and give the solution with the correct inequality symbol.

If helpful, here are brief outlines of common methods so you know what I'll do when you post the inequality:

- Linear (ax + b ? 0): isolate x by adding/subtracting and dividing by a. Reverse the inequality sign if you divide by a negative number.
- Quadratic (ax^2 + bx + c ? 0): factor if possible, or use the quadratic formula to find roots r1, r2, then test intervals or use parabola shape (upward if a>0, downward if a<0).
- Rational (p(x)/q(x) ? 0): find zeros of numerator and denominator, use sign chart on intervals determined by those points (exclude denominator zeros).
- Absolute value (|expression| ? k): split into two linear inequalities when k≥0: expression ? k and expression ? −k (directions depend on ≤/< or ≥/>).
- Compound (and/or): solve each part and intersect (and) or union (or) the solution sets.

Post the inequality and I’ll solve it step-by-step and give the final answer with the proper inequality symbol.