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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 < 3
  4. x > 3

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 < 3
  4. x > 3

Questions & Step-by-Step Solutions

What is the solution to the inequality 6x + 2 < 14?
Correct Answer: x < 2
  • Step 1: Start with the inequality: 6x + 2 < 14.
  • Step 2: Subtract 2 from both sides to isolate the term with x. This gives you: 6x < 14 - 2.
  • Step 3: Simplify the right side: 6x < 12.
  • Step 4: Now, divide both sides by 6 to solve for x. This gives you: x < 12 / 6.
  • Step 5: Simplify the right side: x < 2.
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