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. [5 marks]

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) [1 mark]
B $\cup$ A= {b, c, e, f, g, h} ... (2) [1 mark]
From (1) and (2) we have A $\cup$ B = B $\cup$ A [½ mark]
It is verified that union of sets is commutative.

(ii) A $\cap$ B= {e, g} ... (3) [1 mark]
B $\cap$ A= {e, g} ... (4) [1 mark]
From (3) and (4) we get, A $\cap$ B = B $\cap$ A [½ mark]

It is verified that intersection of sets is commutative.