Maths-
General
Easy

Question

6 x minus 9 y greater than 12
Which of the following inequalities is equivalent to the inequality above?

  1. x minus y greater than 2
  2. 2 x minus 3 y greater than 4
  3. 3 x minus 2 y greater than 4
  4. 3 y minus 2 x greater than 2

hintHint:

Hint:
  • An inequation is a statement that an inequality holds between two values.

The correct answer is: 2 x minus 3 y greater than 4


    Explanation:
    • We have given an inequality6 x minus 9 y greater than 12 .
    • We have to simplify the given inequality and find the equivalent inequality among all the options.
    Step 1 of 1:
    The given inequality is 6 x minus 9 y greater than 12
    Divide both hands side with 3.
    Since  is a positive number, the sign of inequality will not change.
    So,
    fraction numerator 6 x minus 9 y over denominator 3 end fraction greater than 12 over 3
    On further simplification, we will get
    2 x minus 3 y greater than 4
    So, Option (B) is correct.
    Final answer:
    Hence, The equivalent inequality of 6 x minus 9 y greater than 12 will be 2 x minus 3 y greater than 4.
    So, Option (B) is correct.

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