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Solve the inequality 5x - 2 < 3.

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Question: Solve the inequality 5x - 2 < 3.

Options:

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

Correct Answer: x < 1

Solution: 

Step 1: Add 2 to both sides: 5x < 5. Step 2: Divide both sides by 5: x < 1.

Solve the inequality 5x - 2 < 3.

Practice Questions

Q1
Solve the inequality 5x - 2 < 3.
  1. x < 1
  2. x > 1
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

Solve the inequality 5x - 2 < 3.
Correct Answer: x < 1
  • Step 1: Start with the inequality 5x - 2 < 3.
  • Step 2: To get rid of the -2, add 2 to both sides of the inequality. This gives you 5x < 5.
  • Step 3: Now, to solve for x, divide both sides of the inequality by 5. This results in x < 1.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Operations – Applying addition and division to isolate the variable.
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