Q7 of 86 Page 20

Fill in the blanks to make each of the following a true statement:

(i) A ∪ A’ = . . . (ii) ϕ’ ∩ A = . . .


(iii) A ∩ A’ = . . . (iv) U’ ∩ A = . . .


(i) A ⋃ A’ = U

(ii) ϕ’ ⋂ A = U ⋂ A = A (as ϕ’ = U)


(iii) A ⋂ A’ = ϕ


(iv) U’ ⋂ A = ϕ ⋂ A = ϕ (as U’ = ϕ)


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5

Draw appropriate Venn diagram for each of the following:

(i) (A ∪ B)’, (ii) A’ ∩ B’, (iii) (A ∩ B)’,


(iv) A’ ∪ B’

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Let U be the set of all triangles in a plane. If A is the set of all triangles with at least one angle different from 60°, what is A’?

 1

If X and Y are two sets such that n (X) = 17, n (Y) = 23 and n ( X ∪ Y ) = 38, find n ( X ∩ Y ).

 2

If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements and Y has 15 elements; how many elements does X ∩ Y have?