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Solve the inequality 6x + 2 < 14.

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Question: Solve the inequality 6x + 2 < 14.

Options:

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

Correct Answer: x < 3

Solution: 

6x + 2 < 14 => 6x < 12 => x < 2.

Solve the inequality 6x + 2 < 14.

Practice Questions

Q1
Solve the inequality 6x + 2 < 14.
  1. x < 2
  2. x < 3
  3. x > 2
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality 6x + 2 < 14.
Correct Answer: x < 2
  • Step 1: Start with the inequality: 6x + 2 < 14.
  • Step 2: To isolate the term with x, subtract 2 from both sides: 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.
  • Linear Inequalities – Understanding how to manipulate and solve linear inequalities involving a single variable.
  • Isolation of Variable – The process of isolating the variable on one side of the inequality to find its range of values.
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