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Determine the solution set for the inequality 4x - 1 > 3.

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Question: Determine the solution set for the inequality 4x - 1 > 3.

Options:

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

Correct Answer: x > 1

Solution: 

4x - 1 > 3 => 4x > 4 => x > 1.

Determine the solution set for the inequality 4x - 1 > 3.

Practice Questions

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

Questions & Step-by-Step Solutions

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