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AlgebraEasyMultiplying an inequality by 2

Algebra practice question

The inequality x/2 > 4 is equivalent to which of the following?

  1. A. x > 8Correct
  2. B. x > 2
  3. C. x < 8
  4. D. x > 6

Answer: A. x > 8

Multiply both sides by 2: x > 8.

Why the other answers are wrong

B. x > 2
Divides instead of multiplying.
C. x < 8
Multiplying by a positive number does not reverse the sign.
D. x > 6
Adds 2 instead of multiplying.

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