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Solve the inequality: 2(x - 3) ≤ 4.

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Question: Solve the inequality: 2(x - 3) ≤ 4.

Options:

  1. x ≤ 5
  2. x ≥ 5
  3. x < 5
  4. x > 5

Correct Answer: x ≤ 5

Solution: 

Step 1: Distribute: 2x - 6 ≤ 4. Step 2: Add 6 to both sides: 2x ≤ 10. Step 3: Divide by 2: x ≤ 5.

Solve the inequality: 2(x - 3) ≤ 4.

Practice Questions

Q1
Solve the inequality: 2(x - 3) ≤ 4.
  1. x ≤ 5
  2. x ≥ 5
  3. x < 5
  4. x > 5

Questions & Step-by-Step Solutions

Solve the inequality: 2(x - 3) ≤ 4.
  • Inequalities – Understanding how to manipulate and solve inequalities, including distribution, addition, and division.
  • Distributive Property – Applying the distributive property to simplify expressions before solving.
  • Isolation of Variable – Isolating the variable on one side of the inequality to find its range of values.
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