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Determine the solution set for the inequality 4x - 8 < 0.

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Question: Determine the solution set for the inequality 4x - 8 < 0.

Options:

  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Correct Answer: x < 2

Solution: 

4x - 8 < 0 => 4x < 8 => x < 2.

Determine the solution set for the inequality 4x - 8 < 0.

Practice Questions

Q1
Determine the solution set for the inequality 4x - 8 < 0.
  1. x < 2
  2. x > 2
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 4x - 8 < 0.
Correct Answer: x < 2
  • Step 1: Start with the inequality: 4x - 8 < 0.
  • Step 2: Add 8 to both sides of the inequality to isolate the term with x: 4x < 8.
  • Step 3: Now, divide both sides of the inequality by 4 to solve for x: x < 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Applying basic algebraic operations to isolate the variable.
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