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Solve the inequality: 4x + 1 ≥ 2x + 9.

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Question: Solve the inequality: 4x + 1 ≥ 2x + 9.

Options:

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

Correct Answer: x ≥ 4

Solution: 

Step 1: Subtract 2x from both sides: 2x + 1 ≥ 9. Step 2: Subtract 1: 2x ≥ 8. Step 3: Divide by 2: x ≥ 4.

Solve the inequality: 4x + 1 ≥ 2x + 9.

Practice Questions

Q1
Solve the inequality: 4x + 1 ≥ 2x + 9.
  1. x ≥ 4
  2. x ≤ 4
  3. x ≥ 2
  4. x ≤ 2

Questions & Step-by-Step Solutions

Solve the inequality: 4x + 1 ≥ 2x + 9.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and division on both sides of an inequality.
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