If we need to indicate that x is an integer, shouldn't the answer be C?
but in this case statement A contradicts to statement B. A states that x is an integer and B states that it is not.
Not so, taken together x can be zero which is an integer.
Statement 1 alone: Insufficient.
Statement 2 alone:
-1<x<1 |-1-6| = 7
However. |1-6| = 5
. False 5 is not larger than 5. Also insufficient.
Both statement together:
If say we take zero as an integer we need statement 1 to indicate that x is in fact an integer.
|0-6| = 6. True
No, when considering the second statement we don't need to know that x is an integer. The question asks: "is x<1 or x>11?" and (2) says that -1<x<1, so we can answer YES to the question. In your examples you can not consider x=-1 and x=1 since in the given range (-1<x<1) -1 and 1 are not inclusive.