Question

prove that for set A & B ,A-(A int B)=A-B

Answer 1

Intuitively, A - B represents "the part of A that isn't in B", and An B represents "the part of A that is in B." When we combine "the part of A that is in B" and "the part of A that isn't in B, we should just get A. What follows is a formal proof.

The definition of A - B is An BC, where B denotes the complement of B, so we have:

(A - B) U (ANB)

= (AnB)U(An B)

= An (BC U B) This is the distributive property

= An U where U is the "universe" of sets you are working in = A

Answer 2

Step-by-step explanation:

An atmosphere is a layer of gas or layers of gases that envelope a planet or other material body, which is held in place by the gravity of that body. A planet retains an atmosphere when the gravitational force is high and the temperature of the atmosphere is low