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08 Jul 2017, 05:51
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D
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Difficulty:
65%
(hard)
Question Stats:
58% (02:12) correct
42%
(02:16)
wrong
based on 631
sessions
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Date
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Not Attempted Yet
If x > 2y and y < −5, which of the following must be true?
A. x/y > 2
B. x > y
C. x/2 < y
D. x/y < 2
E. 2y + x < 0
A. x/y > 2
B. x > y
C. x/2 < y
D. x/y < 2
E. 2y + x < 0
08 Jul 2017, 07:14
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We know y is negative here, so when we divide by y on both sides of the inequality below, we need to reverse the inequality:
x > 2y
x/y < 2
which is D.
B is not right -- notice that If y is negative, then 2y < y. When we know x > 2y, we can't be sure if x > y; we could have:
2y < x < y
2y < y < x
It's maybe easier to see just picking numbers: if, say, y = -10, then when we know x > 2y, we know x > -20. But x could be -15, which is less than y, or x could be 100, which is greater than y.
x > 2y
x/y < 2
which is D.
B is not right -- notice that If y is negative, then 2y < y. When we know x > 2y, we can't be sure if x > y; we could have:
2y < x < y
2y < y < x
It's maybe easier to see just picking numbers: if, say, y = -10, then when we know x > 2y, we know x > -20. But x could be -15, which is less than y, or x could be 100, which is greater than y.
General Discussion
Luckisnoexcuse
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Updated on: 08 Jul 2017, 07:53
Originally posted by Luckisnoexcuse on 08 Jul 2017, 06:18.
Last edited by Luckisnoexcuse on 08 Jul 2017, 07:53, edited 1 time in total.
Last edited by Luckisnoexcuse on 08 Jul 2017, 07:53, edited 1 time in total.
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Bunuel
Second attempt
if x> 2y then for every value of y (y<-5)
x/y<2
D
