Let a and b be sets where |a1 = 9 and \b1 = 4. (a) what is the largest possible-value for (an bi?
(b) what is the largest possible value for au bi?
(c) what is the value of au bi+ian b?

a) 4, b) 13 and c) 17

Step-by-step explanation:

Since we have given that

Number of elements in A = 9

Number of elements in B = 4

a) What is the largest possible value for A∩B.

Since B has only 4 elements.

So, As largest possible, it can be B⊆A.

So, Largest possible value for A∩B = 4

(b) What is the largest possible value for AUB?

If suppose A∩B = Ф

n(A∩B) = 0

So, it becomes,

So, the largest possible value for A∪B = 13

(c) What is the value of AU B+A∩B?

|A∪B|+|A∩B|=13+4=17

Hence, a) 4, b) 13 and c) 17