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Determine the solution set for the inequality 4x - 1 > 3x + 2.

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Question: Determine the solution set for the inequality 4x - 1 > 3x + 2.

Options:

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

Correct Answer: x > 3

Solution: 

4x - 1 > 3x + 2 => x > 3.

Determine the solution set for the inequality 4x - 1 > 3x + 2.

Practice Questions

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

Questions & Step-by-Step Solutions

Determine the solution set for the inequality 4x - 1 > 3x + 2.
  • Step 1: Start with the inequality: 4x - 1 > 3x + 2.
  • Step 2: To isolate x, first subtract 3x from both sides: 4x - 3x - 1 > 2.
  • Step 3: This simplifies to: x - 1 > 2.
  • Step 4: Next, add 1 to both sides to isolate x: x > 2 + 1.
  • Step 5: This simplifies to: x > 3.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in isolating the variable on one side of the inequality.
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