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Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8

Practice Questions

Q1
Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8?
  1. x ≤ 3
  2. x ≥ 3
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Which of the following represents the solution to the inequality 6x - 4 ≤ 2x + 8?
Correct Answer: x ≤ 3
  • Step 1: Start with the inequality: 6x - 4 ≤ 2x + 8.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides: 6x - 2x - 4 ≤ 8.
  • Step 3: This simplifies to: 4x - 4 ≤ 8.
  • Step 4: Next, add 4 to both sides to isolate the term with x: 4x - 4 + 4 ≤ 8 + 4.
  • Step 5: This simplifies to: 4x ≤ 12.
  • Step 6: Finally, divide both sides by 4 to solve for x: x ≤ 12 / 4.
  • Step 7: This gives us the final solution: x ≤ 3.
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