Q1 of 162 Page 1

Find the smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9}.

A ∪ {1, 2} = {1, 2, 3, 5, 9}


Elements of A and {1, 2} together give us the result


So smallest se of A can be


A = {1, 2, 3, 5, 9} – {1, 2}


A = {3, 5, 9}.


More from this chapter

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6

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that:

(A ∪ B)’ = A’ ∩ B’

 6

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 4, 6, 8} and B = {2, 3, 5, 7}. Verify that:

(A ∩ B}’ = A’ ∪ B’.

 2

Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identities:

A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

 2

Let A = {1, 2, 4, 5} B = {2, 3, 5, 6} C = {4, 5, 6, 7}. Verify the following identities:

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)