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Determine the solution set for the inequality 5x - 1 > 4.

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Question: Determine the solution set for the inequality 5x - 1 > 4.

Options:

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

Correct Answer: x > 1

Solution: 

5x - 1 > 4 => 5x > 5 => x > 1.

Determine the solution set for the inequality 5x - 1 > 4.

Practice Questions

Q1
Determine the solution set for the inequality 5x - 1 > 4.
  1. x < 1
  2. x > 1
  3. x ≤ 1
  4. x ≥ 1

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 5x - 1 > 4.
Correct Answer: x > 1
  • Step 1: Start with the inequality: 5x - 1 > 4.
  • Step 2: Add 1 to both sides of the inequality to isolate the term with x. This gives you: 5x - 1 + 1 > 4 + 1.
  • Step 3: Simplify both sides. You get: 5x > 5.
  • Step 4: Now, divide both sides by 5 to solve for x. This gives you: x > 5 / 5.
  • Step 5: Simplify the right side. You get: x > 1.
  • Inequalities – Understanding how to manipulate and solve inequalities, including isolating the variable.
  • Algebraic Manipulation – Applying algebraic operations correctly to both sides of the inequality.
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