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Solve the inequality 6 - 2x > 4. What is the solution?

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Question: Solve the inequality 6 - 2x > 4. What is the solution?

Options:

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

Correct Answer: x > 1

Solution: 

6 - 2x > 4 => -2x > -2 => x < 1.

Solve the inequality 6 - 2x > 4. What is the solution?

Practice Questions

Q1
Solve the inequality 6 - 2x > 4. What is the solution?
  1. x < 1
  2. x > 1
  3. x < 2
  4. x > 2

Questions & Step-by-Step Solutions

Solve the inequality 6 - 2x > 4. What is the solution?
Correct Answer: x < 1
  • Step 1: Start with the inequality: 6 - 2x > 4.
  • Step 2: Subtract 6 from both sides to isolate the term with x: -2x > 4 - 6.
  • Step 3: Simplify the right side: -2x > -2.
  • Step 4: Divide both sides by -2. Remember, when you divide by a negative number, you must flip the inequality sign: x < 1.
  • Inequalities – Understanding how to manipulate and solve inequalities involving linear expressions.
  • Algebraic Manipulation – Applying algebraic techniques to isolate the variable and solve for its value.
  • Sign Reversal – Recognizing that multiplying or dividing by a negative number reverses the inequality sign.
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