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What is the solution set for the inequality 3x - 5 < 4?

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Question: What is the solution set for the inequality 3x - 5 < 4?

Options:

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

Correct Answer: x < 3

Solution: 

Adding 5 to both sides gives 3x < 9, and dividing by 3 gives x < 3.

What is the solution set for the inequality 3x - 5 < 4?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution set for the inequality 3x - 5 < 4?
  • Step 1: Start with the inequality 3x - 5 < 4.
  • Step 2: Add 5 to both sides of the inequality to eliminate -5. This gives you 3x < 4 + 5.
  • Step 3: Simplify the right side. 4 + 5 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.
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