How many integers x satisfy both 2

Question

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

Leo8 · Answer

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

CyberStein · Answer

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

sunngupt11 · Answer

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

sunngupt11 · Answer

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.
answer: E

KSBGC · Answer

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.

E is the best answer.

sukanya21 · Answer

what level question is this?

ScottTargetTestPrep · Answer

Solution:
 
We see that x could only be 3 if it is an integer and has to satisfy both inequalities. Therefore, there is only 1 integer value of x.

Answer: E

curiouscanary13 · Answer

From the first equation: 2< x <= 4

We get possible values as: 3 and 4

From the second equation: 0<= x <= 3

We get possbile values as 0,1,2,3

Only 3 is the value that's common between 2 equations.

Hence E is the answer

Jet32100 · Answer

2 < x <= 4, two solutions -> x = 3 or x = 4 0<= x <= 3, four solutions -> x = 0, 1, 2, 3 Only overlap between the two expressions is x = 3, so that's the only solution. The answer is E.

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

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