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Solve the inequality 5 - 2x > 3.

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Question: Solve the inequality 5 - 2x > 3.

Options:

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

Correct Answer: x > 1

Solution: 

5 - 2x > 3 => -2x > -2 => x < 1.

Solve the inequality 5 - 2x > 3.

Practice Questions

Q1
Solve the inequality 5 - 2x > 3.
  1. x < 1
  2. x > 1
  3. x < -1
  4. x > -1

Questions & Step-by-Step Solutions

Solve the inequality 5 - 2x > 3.
Correct Answer: x < 1
  • Step 1: Start with the inequality: 5 - 2x > 3.
  • Step 2: Subtract 5 from both sides to isolate the term with x: -2x > 3 - 5.
  • Step 3: Simplify the right side: -2x > -2.
  • Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you flip the inequality sign: x < 1.
  • Inequalities – Understanding how to manipulate and solve inequalities.
  • Algebraic Manipulation – Applying operations to isolate the variable.
  • Sign Reversal – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
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