Q5 of 145 Page 9

State whether any given set is finite or infinite:

L = set of all circles passing through the origin (0, 0)



Infinite number of circles can pass through the origin, so the set will have infinite elements.


So, the given set is infinite


More from this chapter

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5

State whether any given set is finite or infinite:

J = {x : x ϵ N and x is prime}.


 5

State whether any given set is finite or infinite:

K = {x : x ϵ N and x is prime}.


 6

Rewrite the following statements using the set notation:

(i) a is an element of set A.


(ii) b is not an element of A.


(iii) A is an empty set and B is a nonempty set.


(iv) A number of elements in A is 6.


(v) 0 is a whole number but not a natural number.


 1

State in each case whether A ⊂ B or A ⊄ B.

A = {0, 1, 2, 3,}, B = {1, 2, 3, 4, 5}