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What is the solution to the inequality 6x + 2 ≤ 14?

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Question: What is the solution to the inequality 6x + 2 ≤ 14?

Options:

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

Correct Answer: x ≤ 2

Solution: 

6x + 2 ≤ 14 => 6x ≤ 12 => x ≤ 2.

What is the solution to the inequality 6x + 2 ≤ 14?

Practice Questions

Q1
What is the solution to the inequality 6x + 2 ≤ 14?
  1. x ≤ 2
  2. x < 2
  3. x ≥ 2
  4. x > 2

Questions & Step-by-Step Solutions

What is the solution to the inequality 6x + 2 ≤ 14?
  • Step 1: Start with the inequality: 6x + 2 ≤ 14.
  • Step 2: Subtract 2 from both sides to isolate the term with x: 6x + 2 - 2 ≤ 14 - 2.
  • Step 3: This simplifies to: 6x ≤ 12.
  • Step 4: Now, divide both sides by 6 to solve for x: 6x / 6 ≤ 12 / 6.
  • Step 5: This simplifies to: x ≤ 2.
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