Question 6

(a)

(b)

Define the sets

A = {x EZ: -10 ≤ x ≤ 30}

B = {xe A: x is divisible by 2}

C = {xe A: x is a prime number}

D = {−8, −5, −4, -3, 0, 2, 5, 8, 13, 17, 20, 21, 25, 29, 31, 37}

Write down the elements of each of the following sets:

A \(BUD),

CND, A \ (BAD)

(8 marks)

Let A = {x EN: 1 ≤ x ≤ 95000} Determine the number of elements in A that are

divisible by both 6 and 9, but neither by 42 nor by 72.

(10 marks)