Question 12

Let X be a real number. Is the modulus of X necessarily less than 3?

A. X(X+3)<0

B. X(X-3)>0

Solution

Considering statement A, X(X+3)<0 . Here values of x which satisfy are X=-2 , -1 .
Considering statement B, X(X-3)>0 . Here values of x which satisfy are X = ..,-2,-1,4,5,6,... So using only statement 1 we know that uniquely modulus of x has to be less than 3. Hence, the question can be answered by one of the statements alone, but cannot be answered by using the other statement alone.

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