Question which-

2.2 Nonlinear Equations in One Variable - Absolute-value equations
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6 x minus 9 y, is greater than 12

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

A.

3 x minus 2 y, is greater than 4

B.

3 y minus 2 x, is greater than 2

C.

2 x minus 3 y, is greater than 4

D.

x minus y, is greater than 2

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

Easy-difficulty · SAT Math · Nonlinear Equations in One Variable — Absolute-value equations. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer 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.