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# How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?

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Joined: 01 Sep 2010
Posts: 3421
How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?  [#permalink]

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23 Jul 2017, 10:25
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Question Stats:

79% (00:34) correct 21% (00:42) wrong based on 563 sessions

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How many integers x satisfy both $$2 < x \leq 4$$ and $$0 \leq x \leq 3$$ ?

A. 5

B. 4

C. 3

D. 2

E. 1

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Joined: 23 May 2017
Posts: 236
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?  [#permalink]

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23 Jul 2017, 11:17
2
2 < x <= 4 : x can have two values 3 or 4
0<= x <= 3 : x can have 4 values = 0,1,2,3,

common value = 3 ; Hence only one value for X; Hence E
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Manager
Joined: 21 Jun 2017
Posts: 83
Re: How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?  [#permalink]

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05 Sep 2017, 06:12
1
carcass wrote:
How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?

A. 5

B. 4

C. 3

D. 2

E. 1

1. Given 2<x<=4; there is only two possible integers for this condition -- x=(3,4)
2. Given 0<=X<=3; x = (0,1,2,3)
3. The question stem asks for how many integers x satisfy both givens; since 3 is the only integer that overlaps both, there is only one integer x that satisfies both givens.

Ans (E) 1
Intern
Joined: 01 May 2017
Posts: 36
Re: How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?  [#permalink]

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05 Jan 2019, 03:58
2 < x <= 4 : x can have two values 3 or 4
0<= x <= 3 : x can have 4 values = 0,1,2,3,

common value = 3 ; Hence only one value for X;
Hence E
Intern
Joined: 01 May 2017
Posts: 36
Re: How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?  [#permalink]

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05 Jan 2019, 04:08
integers are non decimal number.
2<x≤4 = 3, 4
and
0≤x≤3 -> 0, 1, 3

only 3 is common.

so only one integer.
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Joined: 31 Oct 2013
Posts: 1392
Concentration: Accounting, Finance
GPA: 3.68
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How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?  [#permalink]

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29 Jun 2019, 09:02
carcass wrote:
How many integers x satisfy both $$2 < x \leq 4$$ and $$0 \leq x \leq 3$$ ?

A. 5

B. 4

C. 3

D. 2

E. 1

x is an integer.

Given ,

$$2 < x \leq 4$$

or

$$3 \leq x \leq 4$$

and $$0 \leq x \leq 3$$

Only value of x that meets both inequality is 3.

How many integers x satisfy both 2 < x <= 4 and 0 < = x <= 3 ?   [#permalink] 29 Jun 2019, 09:02
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