Find all real solutions to the rational inequality .
Answer and explanation
Correct answer: A. Solution interval: or
- 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.
More Algebra, Polynomials and Rational Inequalities questions
- If the polynomial is divisible by and leaves a remainder of 8 when divided by , find the val…
- If , find the real value of .
- If the roots of the quadratic equation satisfy , find the value of the parameter .
- Solve the radical equation for all real roots .
- If , determine the numerical value of .
- Determine the set of all real values of satisfying the absolute value inequality .