maths

[priyank.hirani]

If 1<= lxl < 2 and 0<=lyl<2, which of the following will be true?

A) 0 < lx+yl <=4
b) 1 < lx+yl <=4
c) -1 < lx+yl < 4
d) 1 <= lx+yl <4
e)none of these

[shubham_k]

Well, |x + y| >= 0, always.

But, if x + y = 0 (e.g. x = 1.5, y=-1.5), then it is not the case that:

|x + y| > 0

so A is false. B and D are false because |x + y| does not have to be greater than one, as we just determined.

In fact, 0 <= lx+yl < 4, but that is not among the answers here
C is true, since there is any x or y values that satisfy 0 <= lx+yl < 4 will also satisfy C.