SajjadAhmad wrote:

Which of the following is equivalent to the pair of inequalities y > -3x and -z > 2x ?

(A) -2y < 6x < -3z

(B) 2y < -6x < -3z

(C) -3x < y < -z

(D) 3x < z < -y

(E) -3z < 12x < y

We can also answer this question by examining only

one partTake -z > 2x, which we can rewrite as

2x < -zNow examine the answer choices and focus solely on the relationships between x and z

(A)

-2y < 6x < -3z

(B)

2y < -6x < -3z

(C) -3x <

y < -z

(D) 3x < z

< -y(E) -3z < 12x

< yCan

2x < -z be rewritten to match any of these answer choices?

You bet.

Take

2x < -z and multiply both sides by 3 to get:

6x < -3zThis matches answer choice A

If we look further, we see that

2x < -z CANNOT be rewritten to match any of the other 4 answer choices.

So, the correct answer must be A

Cheers,

Brent

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