A2. Part a) and b) please a tables to show that pn(qvr) (pAq)V (p/r) [4 marks] A

Question

A2. Part a) and b) please

a tables to show that pn(qvr) (pAq)V (p/r) [4 marks] A2. (a) Let n e N. Negate the statement va, b E Z, 31ab 31a or 31b. (b) Let A and B be sets, and let p(a) and q0) b the statement e statements defined for a E A and b E B. Negate 4 marks A3. Let A and B be sets and let f : A B be a function. a) Define what it means for f to be 1-1. (b)) Define what it means for f to be onto. 4 marks 1. se the contrapositive to prove that Va, y e Z, x + y > 8 > 4 or y > 4. 13 marks

Explanation / Answer

1).the negation of this statement is :

for all a, b € Z,

If 3 doesn't divide ab then 3 can't divide both a and b.

2).the negation of this statement is :

for all a€A, there exist b€AnB, p(a) /q(b).

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