Question:
Which of the following values of x do not satisfy the inequality $(x^2 - 3x + 2>0)$ at all?
Which of the following values of x do not satisfy the inequality $(x^2 - 3x + 2>0)$ at all?
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Solve quadratic inequalities by finding critical points and testing intervals.
Updated On: Aug 6, 2025
- $1 \le x \le 2$
- $-1 \ge x \ge -2$
- $0 \le x \le 2$
- $0 \ge x \ge -2$
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The Correct Option is A
Solution and Explanation
Factor: \( x^2 - 3x + 2 = (x-1)(x-2) > 0 \) → true for \( x < 1 \) or \( x > 2 \).
Fails entirely for \( 1 \leq x \leq 2 \).
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