Prove that if A B then A C B CSolutionLets suppose that A is

Prove that if A B, then A C B C.

Solution

Let\'s suppose that A is a subset of B

if x belongs to A intersection C then x belongs to A and x belongs to C , since by the defintion of intersetcion .

Since x belongs to A, then x belongs to B since A is a subset of B . Thus if x belongs to A intersection then x belongs to B intersection C