Solve the inequality x^2 - 5x + 6 < 0.
Answer and explanation
Correct answer: B. 2 < x < 3
- Step 1: x^2 - 5x + 6 = (x - 2)(x - 3). Step 2. The product is negative between the roots: 2 < x < 3. Answer: 2 < x < 3. Why not the others: x < 2 or x > 3: That is where the expression is positive. x < 3: That ignores the lower bound. x > 2: That ignores the upper bound.
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