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

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

Options:

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

Correct Answer: x > 2

Solution: 

-2x + 5 > 1 => -2x > -4 => x < 2.

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

Practice Questions

Q1
What is the solution to the inequality -2x + 5 > 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 -2x + 5 > 1?
Correct Answer: x < 2
  • Step 1: Start with the inequality -2x + 5 > 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, so 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 flip the inequality sign.
  • Step 5: Dividing -4 by -2 gives you 2, and since we flipped the inequality sign, you now have x < 2.
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