Let D E 2 1 0 1 2 True or False Justify your answers Foral

Let D = E = {-2, -1, 0, 1, 2}. True or False? Justify your answers. Forall x in D, y in E such that x + y = 1. x in D such that Forall y in E, x + y = y.

Solution

a) False

for x=-2 there is no such y

As -2+3=1 and 3 is not in E

b)

True

x=0 is the required x

Since, y+0=y for any real number y

Hence proved.