Q5 of 145 Page 9

State whether any given set is finite or infinite:

K = {x : x ϵ N and x is prime}.


The given set is the set of all prime numbers and since the set of prime numbers is infinite. Hence, the given set is infinite.


More from this chapter

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5

State whether any given set is finite or infinite:

H = {x ϵ Z: –15 < x < 15].


 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:

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


 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.