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# If x + y > 5 and x – y > 3, then which of the following gives all poss

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Joined: 02 Sep 2009
Posts: 50042
If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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29 Oct 2017, 01:29
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77% (01:04) correct 23% (02:02) wrong based on 133 sessions

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If x + y > 5 and x – y > 3, then which of the following gives all possible values of x and only possible values of x?

(A) x > 3
(B) x > 4
(C) x > 5
(D) x < 5
(E) x < 3

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Re: If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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29 Oct 2017, 08:25
Bunuel wrote:
If x + y > 5 and x – y > 3, then which of the following gives all possible values of x and only possible values of x?

(A) x > 3
(B) x > 4
(C) x > 5
(D) x < 5
(E) x < 3

(x + y > 5) + (x – y > 3)

Or, 2x > 8

Or, x > 4

Thus, the correct answer must be (B) x > 4
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Re: If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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01 Nov 2017, 09:20
1
3

(x + y > 5)
+ (x – y > 3)

Or, 2x > 8

Or, x > 4
Intern
Joined: 04 May 2015
Posts: 17
Re: If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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01 Nov 2017, 09:30
Bunuel wrote:
If x + y > 5 and x – y > 3, then which of the following gives all possible values of x and only possible values of x?

(A) x > 3
(B) x > 4
(C) x > 5
(D) x < 5
(E) x < 3

adding the two given equations we get,
x+y+x-y> 8 (both LHS have greater than signs they can be added at one side)
2x>8
x>4
ans B
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Re: If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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02 Nov 2017, 22:13
1
Bunuel wrote:
If x + y > 5 and x – y > 3, then which of the following gives all possible values of x and only possible values of x?

(A) x > 3
(B) x > 4
(C) x > 5
(D) x < 5
(E) x < 3

x+y>5
x -y>3
_____
2x >8
x>8/2
x>4
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Joined: 15 Feb 2017
Posts: 77
Re: If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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02 Nov 2017, 22:23
IMO Option B
x + y > 5) + (x – y > 3)

Or, 2x > 8

Or, x > 4
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Re: If x + y > 5 and x – y > 3, then which of the following gives all poss  [#permalink]

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06 Nov 2017, 18:06
Bunuel wrote:
If x + y > 5 and x – y > 3, then which of the following gives all possible values of x and only possible values of x?

(A) x > 3
(B) x > 4
(C) x > 5
(D) x < 5
(E) x < 3

Adding the inequalities together, we have:

2x > 8

x > 4

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Re: If x + y > 5 and x – y > 3, then which of the following gives all poss &nbs [#permalink] 06 Nov 2017, 18:06
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