1)naveenhv wrote:If w + x < 0, is w - y > 0 ?
1) x + y < 0
2) y < x < w
x+y<0; add w on both sides we have;
x+w+y<w;
(w-y)>(x+w);-------1)
now as per given condition x+w<0; now consider x=2 y=-7; we have 2-7<0;
now substitute this value in 1) we have;
(w-y)>-5; now here both positive and negative values are possible for example w-y can be -4>-5; also it can 1>-5; hence we cannot say with surety whether w-y>0 or not;
2)y<x<w; now subtract w from each term in the inequality we have;
y-w<x-w<0;
i.e. y-w<0; hence w-y>0; therefore 2 alone is sufficient to answer the question, hence answer should be B
