The solution set for the inequality x 2 − 1 x 2 − 5 x + 6 ≤ 0 is:

Start Free Mock LoginAlready registered? Login here

Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationInequationMedium2 minai-gemini

MathematicsMediumsingle choice

The solution set for the inequality $\frac{x ^{2} - 5 x + 6}{x ^{2} - 1} \leq 0$ is:

Options:

Answer:

Solution:

Factor the numerator and denominator: $\frac{( x - 2 ) ( x - 3 )}{( x - 1 ) ( x + 1 )} \leq 0$ . The critical points are $x = - 1, 1, 2, 3$ . Using a sign chart or testing intervals, the expression is negative in $(- 1, 1)$ and $[2, 3]$ . Note that $x \neq = - 1, 1$ because they make the denominator zero. Thus, the solution set is $(- 1, 1) \cup [2, 3]$ .

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Inequation

⏱ 2mℹ️ Source: ai-gemini

Doubts & Discussion

Loading discussions...