Q5 of 145 Page 9

State whether any given set is finite or infinite:
B = Set of all points on the circumference of a circle.

There are infinite numbers of points on the circumference of the circle.

so the set will have infinite elements.

So, the given set is infinite.

Which of the following are pairs of equivalent sets?

(i) A = {–1, –2, 0} and B = { 1, 2, 3,}

(ii) C = {x : x ϵ N, x < 3} and D ={x : x ϵ W, x < 3}

(iii) E = {a, e, i, o, u} and F = {p, q, r, s, t}

State whether any given set is finite or infinite:

A = Set of all triangles in a plane.

State whether any given set is finite or infinite:

C = set of all lines parallel to the y-axis

State whether any given set is finite or infinite:

D = set of all leaves on a tree

State whether any given set is finite or infinite:B = Set of all points on the circumference of a circle.