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If x 8 and y 3, then it must be true that

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Bunuel
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If x 8 and y 3, then it must be true that [#permalink] New post   13 Mar 2019, 00:15
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A
B
C
D
E

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45% (medium)

Question Stats:

65% (01:35) correct 35% (01:20) wrong based on 137 sessions
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If x ≤ 8 and y ≥ 3, then it must be true that

A. x + y ≥ 5
B. x + y ≤ 11
C. x - y ≥ 5
D. x - y ≤ 5
E. x - y ≤ 11

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D
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D
KSBGC
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Re: If x 8 and y 3, then it must be true that [#permalink] New post   13 Mar 2019, 00:40
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Bunuel wrote:
If x ≤ 8 and y ≥ 3, then it must be true that

A. x + y ≥ 5
B. x + y ≤ 11
C. x - y ≥ 5
D. x - y ≤ 5
E. x - y ≤ 11



Given,

x ≤ 8

3 ≤ y

.................

x + 3 ≤ 8 + y

x - y ≤ 8 - 3

x - y ≤ 5.

D is the best answer.
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TheNightKing
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Re: If x 8 and y 3, then it must be true that [#permalink] New post   09 Jan 2020, 06:08
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KSBGC wrote:
Bunuel wrote:
If x ≤ 8 and y ≥ 3, then it must be true that

A. x + y ≥ 5
B. x + y ≤ 11
C. x - y ≥ 5
D. x - y ≤ 5
E. x - y ≤ 11



Given,

x ≤ 8

3 ≤ y

.................

x + 3 ≤ 8 + y

x - y ≤ 8 - 3

x - y ≤ 5.

D is the best answer.


That was quite an elegant approach. Nicely done!
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Jayshoot
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Re: If x 8 and y 3, then it must be true that [#permalink] New post   12 Jan 2020, 17:02
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Would also like to know in what instance would E not be the correct answer.
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Gruzin
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Re: If x 8 and y 3, then it must be true that [#permalink] New post   15 Dec 2019, 10:44
whats the source? I may be missing something but E seems legit as well as D
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Re: If x 8 and y 3, then it must be true that [#permalink] New post   11 Apr 2020, 09:34
if a>b and c<d (signs in opposite direction: > and <) --> a−c>b−d (take the sign of the inequality you subtract from).
Example: 3<4 and 5>1 --> 3−5<4−1

here, x≤8 and y≥3
or,x−y≤5 (subtracting )

correct answer D
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Re: If x 8 and y 3, then it must be true that [#permalink] New post   16 Oct 2020, 06:30
Bunuel wrote:
If x ≤ 8 and y ≥ 3, then it must be true that

A. x + y ≥ 5
B. x + y ≤ 11
C. x - y ≥ 5
D. x - y ≤ 5
E. x - y ≤ 11

what's wrong with E bunuel

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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Thank you for understanding, and happy exploring!
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Re: If x 8 and y 3, then it must be true that [#permalink]
16 Oct 2020, 06:30
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