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Solve the inequality 3x - 7 < 2.

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Question: Solve the inequality 3x - 7 < 2.

Options:

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

Correct Answer: x < 3

Solution: 

To solve 3x - 7 < 2, add 7 to both sides: 3x < 9. Then divide by 3: x < 3.

Solve the inequality 3x - 7 < 2.

Practice Questions

Q1
Solve the inequality 3x - 7 < 2.
  1. x < 3
  2. x < 2
  3. x > 3
  4. x > 2

Questions & Step-by-Step Solutions

Solve the inequality 3x - 7 < 2.
  • Step 1: Start with the inequality 3x - 7 < 2.
  • Step 2: Add 7 to both sides of the inequality to get rid of the -7. This gives you 3x < 2 + 7.
  • Step 3: Simplify the right side. 2 + 7 equals 9, so now you have 3x < 9.
  • Step 4: Now, divide both sides of the inequality by 3 to solve for x. This gives you x < 9 / 3.
  • Step 5: Simplify the right side. 9 divided by 3 equals 3, so you have x < 3.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Applying operations such as addition and division to isolate the variable.
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