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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