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Solve the inequality 2x - 3 < 5. What is the solution set?

Practice Questions

Q1
Solve the inequality 2x - 3 < 5. What is the solution set?
  1. x < 4
  2. x > 4
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Solve the inequality 2x - 3 < 5. What is the solution set?
Correct Answer: x < 4
  • Step 1: Start with the inequality: 2x - 3 < 5.
  • Step 2: Add 3 to both sides of the inequality to isolate the term with x. This gives you: 2x - 3 + 3 < 5 + 3.
  • Step 3: Simplify both sides. The left side becomes 2x and the right side becomes 8. So now you have: 2x < 8.
  • Step 4: Now, divide both sides of the inequality by 2 to solve for x. This gives you: 2x / 2 < 8 / 2.
  • Step 5: Simplify again. The left side becomes x and the right side becomes 4. So now you have: x < 4.
  • Step 6: The solution set is all values of x that are less than 4.
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