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Solve the inequality: 2x - 5 < 3

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

Options:

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

Correct Answer: x < 4

Solution: 

Add 5 to both sides: 2x < 8. Divide by 2: x < 4.

Solve the inequality: 2x - 5 < 3

Practice Questions

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

Questions & Step-by-Step Solutions

Solve the inequality: 2x - 5 < 3
  • Step 1: Start with the inequality: 2x - 5 < 3.
  • Step 2: Add 5 to both sides of the inequality to get rid of the -5. This gives you: 2x < 3 + 5.
  • Step 3: Simplify the right side: 2x < 8.
  • Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you: x < 8 / 2.
  • Step 5: Simplify the right side: x < 4.
  • Inequalities – Understanding how to manipulate and solve inequalities, including adding, subtracting, multiplying, and dividing both sides.
  • Algebraic Manipulation – Applying algebraic operations correctly to isolate the variable.
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