Set Notation

List the elements of {x : x is a positive integer and $$2x+1\le12$$  }

(2 marks)

Write an example of set is empty set!

(1 mark)

Randy gives two sets to Andy, that are A = {a, e, i, o, u} and B = {l, m, n, o, p, q}. Andy said $$\left(A\cap B\right)'$$  = O

(1 mark)

Which of the following statements are true (T) and which are false(F)?

(i) $$7\notin\left\{2,3,6\right\}$$  

(ii) $$6\notin\left\{x:x\ is\ an\ even\ number\right\}$$  

(iii) $$If\ A\ =\ \left\{1,2,3,4\right\}\ and\ B=\left\{whole\ number\ less\ than\ 4\right\},\ then\ A\ =\ B$$  

(iv) $$2\in\left\{x:x\ is\ a\ prime\ number\right\}$$  

(v) $$15\notin\left\{\left(x:x\ is\ a\ prime\ number\right)\right\}$$  

(5 marks)

If $$\xi=\left\{1,2,3,4,5\right\}$$  , $$A=\left\{1,2,4\right\}$$  and $$B=\left\{1,4,5\right\}$$ , list the elements of the set $$\left(A\cup B\right)\cap\left(A\cup B\right)'$$  

(2 marks)

If $$\xi=\left\{integers\ \ from\ 1\ to\ 12\right\}$$  

P = {prime numbers}

Q = {odd numbers}

list of the elements of $$P'\cap Q'$$  

(3 marks)

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?