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What is the solution to the inequality 5 - 2x < 1?

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Question: What is the solution to the inequality 5 - 2x < 1?

Options:

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

Correct Answer: x > 2

Solution: 

Subtract 5 from both sides: -2x < -4. Then divide by -2 (reverse the inequality): x > 2.

What is the solution to the inequality 5 - 2x < 1?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the solution to the inequality 5 - 2x < 1?
Correct Answer: x > 2
  • Step 1: Start with the inequality 5 - 2x < 1.
  • Step 2: Subtract 5 from both sides to isolate the term with x. This gives you -2x < 1 - 5.
  • Step 3: Simplify the right side: 1 - 5 equals -4. Now you have -2x < -4.
  • Step 4: To solve for x, divide both sides by -2. Remember, when you divide by a negative number, you must reverse the inequality sign.
  • Step 5: After dividing, you get x > 2.
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