If A ⊂ B, then show that A ⋃ B = B (use Venn diagram).

Question

Philoid · Accepted Answer

The statement (A ⊂ B) indicates that set A is a subset of set B which mean that all values of set A are in set B.

A union operation between two sets generate a new set which contain all the elements of the two sets.

But from the given statement it’s clear that A is a subset of B so the union operation between these two will give a set same as set B so a Venn diagram to represent (A ⋃ B) can be drawn as