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Solve the inequality x/4 - 1 < 0.

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Question: Solve the inequality x/4 - 1 < 0.

Options:

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

Correct Answer: x < 4

Solution: 

x/4 - 1 < 0 => x/4 < 1 => x < 4.

Solve the inequality x/4 - 1 < 0.

Practice Questions

Q1
Solve the inequality x/4 - 1 < 0.
  1. x < 4
  2. x > 4
  3. x ≤ 4
  4. x ≥ 4

Questions & Step-by-Step Solutions

Solve the inequality x/4 - 1 < 0.
Correct Answer: x < 4
  • Step 1: Start with the inequality x/4 - 1 < 0.
  • Step 2: To isolate x/4, add 1 to both sides of the inequality. This gives you x/4 < 1.
  • Step 3: Now, to get rid of the fraction, multiply both sides of the inequality by 4. This results in x < 4.
  • Step 4: The solution to the inequality is x < 4.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Skills in performing operations on both sides of an inequality while maintaining its direction.
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