Hi Bunuel,
I have a doubt, as per this thread D is the correct answer.
I calculated the range of x as -1<x<3, further option D says :
D. Number of distinct positive factors of x+2 is a prime number
for x=0 x+2 = 2 => distinct positive factors are 1 and 2
for x=1 x+2 = 3 => distinct positive factors are 1 and 3
for x=2 x+2 = 4 => distinct positive factors are 1 and 2
2,3 are prime numbers but 1 is not a prime number as per rule/definition.
Therefor I think D is also not a well articulated option.
Could you please share your opinion on this.
Regards,
PiyushK
Subject: If x is an integer and |1-x|<2 then which of the followingBunuel wrote:
sanjoo wrote:
If x is an integer and |1−x|<2 then which of the following must be true?
A) x is not a prime number
B) x^2+x is not a prime number
C) x is positive
D) Number of distinct positive factors of x+2 is a prime number
E) x is not a multiple of an odd prime number
If x is an integer and |1-x|<2 then which of the following must be true?|1-x| is just the distance between 1 and x on the number line. We are told that this distance is less than 2: --(-1)
----1----3-- so, -1<x<3. Since given that x is an integer then
x can be 0, 1 or 2.
A. x is not a prime number. Not true if x=2.
B. x^2+x is not a prime number. Not true if x=1.
C. x is positive. Not true if x=0.
D. Number of distinct positive factors of x+2 is a prime number. True for all three values of x.
E. x is not a multiple of an odd prime number. Not true if x=0, since zeo is a multiple of every integer except zero itself.
Answer: D.
Responding to pm.
D.
of x+2 is a prime number. x+2 is 2, 3, or 4.
2 has 2 factors 1 and 2.
3 has 2 factors 1 and 3.
4 has 3 factors 1, 2 and 4.
The number of factors of each number is a prime number.