Find all real solutions to the rational inequality .

Answer and explanation

Correct answer: A. Solution interval: or

  1. Step 1: Factor numerator: . Critical values: . Step 2. Test intervals: for , (true); for , ; for , (true); for , . Step 3. Include non-zero numerator endpoints and . Exclude denominator root . Answer: Solution interval: x <= 1 or 2 < x <= 3. Why not the others: The denominator cannot be zero ().

Practise more Algebra, Polynomials and Rational Inequalities.

Free questions with an explanation for every one, and full timed SIMAK UI mock tests.