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Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?

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Question: Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?

Options:

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

Correct Answer: x ≥ 1

Solution: 

4x - 1 ≥ 3x + 2 => x ≥ 3.

Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?

Practice Questions

Q1
Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?
  1. x ≥ 3
  2. x ≤ 3
  3. x ≥ 1
  4. x ≤ 1

Questions & Step-by-Step Solutions

Solve the inequality 4x - 1 ≥ 3x + 2. What is the solution?
  • 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 solve for x: x ≥ 2 + 1.
  • Step 5: This simplifies to: x ≥ 3.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Skills in isolating the variable on one side of the inequality.
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