Answer:
(a)




(b)




(c)


<em>They are not equal</em>
<em></em>
Step-by-step explanation:
Given



Solving (a):




B n C means common elements between B and C;
So:


So:

u means union (without repetition)
So:

Using the illustrations of u and n, we have:


Solve the bracket

Substitute the value of set C

Apply intersection rule


In above:

Solving A u C, we have:

Apply union rule

So:


<u>The equal sets</u>
We have:



So, the equal sets are:
and 
They both equal to 
So:

Solving (b):



So, we have:

Solve the bracket

Apply intersection rule


Solve the bracket

Apply union rule


Solve each bracket

Apply union rule

<u>The equal set</u>
We have:



So, the equal sets are:
and 
They both equal to 
So:

Solving (c):


This illustrates difference.
returns the elements in A and not B
Using that illustration, we have:

Solve the bracket


Similarly:



<em>They are not equal</em>