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Find the solution to the inequality: 4x + 1 ≥ 2x + 5.

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Question: Find the solution to the inequality: 4x + 1 ≥ 2x + 5.

Options:

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

Correct Answer: x ≥ 2

Solution: 

Step 1: Subtract 2x from both sides: 2x + 1 ≥ 5. Step 2: Subtract 1: 2x ≥ 4. Step 3: Divide by 2: x ≥ 2.

Find the solution to the inequality: 4x + 1 ≥ 2x + 5.

Practice Questions

Q1
Find the solution to the inequality: 4x + 1 ≥ 2x + 5.
  1. x ≥ 2
  2. x ≤ 2
  3. x ≥ 4
  4. x ≤ 4

Questions & Step-by-Step Solutions

Find the solution to the inequality: 4x + 1 ≥ 2x + 5.
  • Step 1: Start with the inequality 4x + 1 ≥ 2x + 5.
  • Step 2: Subtract 2x from both sides to get 2x + 1 ≥ 5.
  • Step 3: Now, subtract 1 from both sides to simplify it to 2x ≥ 4.
  • Step 4: Finally, divide both sides by 2 to find x ≥ 2.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Skills in performing operations such as addition, subtraction, and division on both sides of an inequality.
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