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#3: Give a proof by contraposition of the following theorem. "If n is an integer and n^(3)+5 is odd, then n is even" If n is an integer and n^(3)+5 is odd, then n is even Proof by contraposition: We prove that: If n is odd, then n^(3)+5 is even. #4: Let A={5,6,7} and B={6,7} (a) List the elements of (A∪B) (b) List the elements of (B∪A') (c) List the elements of (A∪B) ∩ (B∪A) #5: Write out the power set of the following set: {1,2,3,4}. #6: Given the following bags, answer the questions: Let A={1,1,m,m,n,n,n,n} and B={1,m,m,m,n} (a) List the elements of (A∪B) (b) List the elements of (A∩B) (c) List the elements of A+B (d) List the elements of A - B #7:

          #3: Give a proof by contraposition of the following theorem.
"If n is an integer and n^(3)+5 is odd, then n is even"
If n is an integer and n^(3)+5 is odd, then n is even
Proof by contraposition:
We prove that:
If n is odd, then n^(3)+5 is even.
#4:
Let A={5,6,7} and B={6,7}
(a) List the elements of (A∪B)
(b) List the elements of (B∪A')
(c) List the elements of (A∪B) ∩ (B∪A)
#5:
Write out the power set of the following set: {1,2,3,4}.
#6:
Given the following bags, answer the questions:
Let A={1,1,m,m,n,n,n,n} and B={1,m,m,m,n}
(a) List the elements of (A∪B)
(b) List the elements of (A∩B)
(c) List the elements of A+B
(d) List the elements of A - B
#7:

3 give a proof by contraposition of the following theorem if n is an integer and n35 is odd then n is even if n is an integer and n35 is odd then n is even proof by contraposition we prove t 45274

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