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6x − 9y gt 12 Which of the following i...

6x − 9y gt 12
Which of the following inequalities is equivalent to the inequality above?

A

x − y > 2

B

2x − 3y > 4

C

3x − 2y > 4

D

3y − 2x > 2

Text Solution

Verified by Experts

The correct Answer is:
B
Both sides of the given inequality can be divided by 3 to yield 2x − 3y gt 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, −1.5) is a solution to the given inequality, but it is not a solution to any of the inequalities in choices A, C, or D.
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