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What is the solution set for the inequality 4x + 1 < 9?

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Question: What is the solution set for the inequality 4x + 1 < 9?

Options:

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

Correct Answer: x < 2

Solution: 

4x + 1 < 9 => 4x < 8 => x < 2.

What is the solution set for the inequality 4x + 1 < 9?

Practice Questions

Q1
What is the solution set for the inequality 4x + 1 < 9?
  1. x < 2
  2. x > 2
  3. x < 1
  4. x > 1

Questions & Step-by-Step Solutions

What is the solution set for the inequality 4x + 1 < 9?
Correct Answer: x < 2
  • Step 1: Start with the inequality 4x + 1 < 9.
  • Step 2: Subtract 1 from both sides to isolate the term with x. This gives you 4x < 9 - 1.
  • Step 3: Simplify the right side. 9 - 1 equals 8, so now you have 4x < 8.
  • Step 4: Divide both sides by 4 to solve for x. This gives you x < 8 / 4.
  • Step 5: Simplify the right side. 8 divided by 4 equals 2, so now you have x < 2.
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