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Solve the inequality 6 - 2x ≤ 4.

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Question: Solve the inequality 6 - 2x ≤ 4.

Options:

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

Correct Answer: x ≤ 1

Solution: 

6 - 2x ≤ 4 => -2x ≤ -2 => x ≥ 1.

Solve the inequality 6 - 2x ≤ 4.

Practice Questions

Q1
Solve the inequality 6 - 2x ≤ 4.
  1. x ≥ 1
  2. x < 1
  3. x > 1
  4. x ≤ 1

Questions & Step-by-Step Solutions

Solve the inequality 6 - 2x ≤ 4.
  • Step 1: Start with the inequality: 6 - 2x ≤ 4.
  • Step 2: Subtract 6 from both sides to isolate the term with x: -2x ≤ 4 - 6.
  • 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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