Question

Suppose we are given 4 sets A, B, C, D such that A ⊆ B and C ⊆ D such that A and C have no elements in common. Prove or give a counterexample to the assertion that A and D also have no elements in common.

Answer 1

Step-by-step explanation:

Counter Example:

let,

A = {1,2,3,4,5}

C = {6,7,8,9}

D = {4,5,6,7,8,9}

clearly, C ⊆ D and A and C doesn't have any element in common

(as per the questions requirement)

but A and D have 2 elements in common

hence, the Assertion is incorrect

HOPE IT HELPS :D