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Solve the inequality 5 - 2x ≥ 3.

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Question: Solve the inequality 5 - 2x ≥ 3.

Options:

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

Correct Answer: x ≥ 1

Solution: 

5 - 2x ≥ 3 => -2x ≥ -2 => x ≤ 1.

Solve the inequality 5 - 2x ≥ 3.

Practice Questions

Q1
Solve the inequality 5 - 2x ≥ 3.
  1. x ≤ 1
  2. x ≥ 1
  3. x ≤ 2
  4. x ≥ 2

Questions & Step-by-Step Solutions

Solve the inequality 5 - 2x ≥ 3.
Correct Answer: x ≤ 1
  • Step 1: Start with the inequality: 5 - 2x ≥ 3.
  • Step 2: Subtract 5 from both sides to isolate the term with x: -2x ≥ 3 - 5.
  • Step 3: Simplify the right side: -2x ≥ -2.
  • Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x ≤ 1.
  • Inequalities – Understanding how to manipulate and solve inequalities, including reversing the inequality sign when multiplying or dividing by a negative number.
  • Algebraic Manipulation – Skills in rearranging equations and isolating variables to find solutions.
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