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Solve the quadratic inequality: x^2 - 5x + 6 < 0.

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Question: Solve the quadratic inequality: x^2 - 5x + 6 < 0.

Options:

  1. 1 < x < 6
  2. 2 < x < 3
  3. x < 2 or x > 3
  4. 2 < x < 6

Correct Answer: 2 < x < 3

Solution: 

Step 1: Factor: (x - 2)(x - 3) < 0. Step 2: Test intervals: solution is 2 < x < 3.

Solve the quadratic inequality: x^2 - 5x + 6 < 0.

Practice Questions

Q1
Solve the quadratic inequality: x^2 - 5x + 6 < 0.
  1. 1 < x < 6
  2. 2 < x < 3
  3. x < 2 or x > 3
  4. 2 < x < 6

Questions & Step-by-Step Solutions

Solve the quadratic inequality: x^2 - 5x + 6 < 0.
  • Quadratic Inequalities – Understanding how to solve inequalities involving quadratic expressions by factoring and testing intervals.
  • Interval Testing – Identifying the correct intervals where the inequality holds true after factoring the quadratic expression.
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