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Solve the inequality: x^2 - 4x < 0.

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Question: Solve the inequality: x^2 - 4x < 0.

Options:

  1. x < 0 or x > 4
  2. 0 < x < 4
  3. x > 0
  4. x < 4

Correct Answer: 0 < x < 4

Solution: 

Step 1: Factor the inequality: x(x - 4) < 0. Step 2: The critical points are x = 0 and x = 4. Step 3: Test intervals: (0, 4) is the solution.

Solve the inequality: x^2 - 4x < 0.

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality: x^2 - 4x < 0.
  • Inequalities – Understanding how to solve and graph quadratic inequalities.
  • Factoring – Ability to factor quadratic expressions to find critical points.
  • Test Intervals – Using test points in intervals to determine where the inequality holds true.
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