Question

If A = {b, e, f, g} and B = {c, e, g, h} then verify the commutative property of (i) union of sets (ii) intersection of sets.

Answer 1

Given, A = {b, e, f, g} and B = {c, e, g, h}

(i) A $\cup$ B= {b, c, e, f, g, h} ... (1)
B $\cup$ A= {b, c, e, f, g, h} ... (2)
From (1) and (2) we have A $\cup$ B = B $\cup$ A
It is verified that union of sets is commutative.

(ii) A $\cap$ B= {e, g} ... (3)
B $\cap$ A= {e, g} ... (4)
From (3) and (4) we get, A $\cap$ B = B $\cap$ A

It is verified that intersection of sets is commutative.