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What is the solution for the inequality 7x + 2 ≤ 5x + 10?

Practice Questions

Q1
What is the solution for the inequality 7x + 2 ≤ 5x + 10?
  1. x ≤ 4
  2. x ≥ 4
  3. x ≤ 3
  4. x ≥ 3

Questions & Step-by-Step Solutions

What is the solution for the inequality 7x + 2 ≤ 5x + 10?
Correct Answer: x ≤ 4
  • Step 1: Start with the inequality: 7x + 2 ≤ 5x + 10.
  • Step 2: To isolate the variable x, subtract 5x from both sides: 7x - 5x + 2 ≤ 10.
  • Step 3: This simplifies to 2x + 2 ≤ 10.
  • Step 4: Next, subtract 2 from both sides: 2x ≤ 10 - 2.
  • Step 5: This simplifies to 2x ≤ 8.
  • Step 6: Now, divide both sides by 2 to solve for x: x ≤ 8 / 2.
  • Step 7: This simplifies to x ≤ 4.
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