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Find the solution set for the inequality -2x + 5 > 1.

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Question: Find the solution set for 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.

Find the solution set for the inequality -2x + 5 > 1.

Practice Questions

Q1
Find the solution set for the inequality -2x + 5 > 1.
  1. x < 2
  2. x > 2
  3. x < 3
  4. x > 3

Questions & Step-by-Step Solutions

Find the solution set for the inequality -2x + 5 > 1.
Correct Answer: x < 2
  • Step 1: Start with the inequality -2x + 5 > 1.
  • Step 2: To isolate the term with x, subtract 5 from both sides. This gives you -2x > 1 - 5.
  • Step 3: Simplify the right side. 1 - 5 equals -4, so now you have -2x > -4.
  • Step 4: Next, divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign. So, -2x > -4 becomes x < 2.
  • Step 5: The solution set is x < 2.
  • Inequalities – Understanding how to manipulate and solve linear inequalities.
  • Sign Reversal – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
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