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Advanced Math / Nonlinear equations in one variable and systems of equations in two variables Difficulty: Easy

6 x minus 9 y, is greater than 12

Which of the following inequalities is equivalent to the inequality above?

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Explanation

Choice B is correct. Both sides of the given inequality can be divided by 3 to yield 2 x minus 3 y, is greater than 4.

Choices A, C, and D are incorrect because they are not equivalent to (do not have the same solution set as) the given inequality. For example, the ordered pair 0 comma negative 1 point 5 is a solution to the given inequality, but it is not a solution to any of the inequalities in choices A, C, or D.