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What is the solution to the inequality 6x + 4 ≤ 2x + 16?

Practice Questions

Q1
What is the solution to the inequality 6x + 4 ≤ 2x + 16?
  1. x ≤ 3
  2. x ≥ 3
  3. x ≤ 4
  4. x ≥ 4

Questions & Step-by-Step Solutions

What is the solution to the inequality 6x + 4 ≤ 2x + 16?
  • Step 1: Start with the inequality: 6x + 4 ≤ 2x + 16.
  • Step 2: To get all the x terms on one side, subtract 2x from both sides: 6x - 2x + 4 ≤ 16.
  • Step 3: This simplifies to: 4x + 4 ≤ 16.
  • Step 4: Next, subtract 4 from both sides to isolate the term with x: 4x ≤ 16 - 4.
  • Step 5: This simplifies to: 4x ≤ 12.
  • Step 6: Now, divide both sides by 4 to solve for x: x ≤ 12 / 4.
  • Step 7: This simplifies to: x ≤ 3.
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