Write the set of all positive integers whose cube is odd.

Match each of the sets on the left in the roster form with the same set on the right described in the set-builder form:

i.{A,P,L,E} i. {x:x+5=5, x z}

ii.{5,-5} ii. {x:x is a prime natural number and a divisor of 10}

iii. {0} iii. {x:x is a letter of the word “RAJASTHAN”}

iv. {1,2,5,10} iv. {x:x is a natural and divisor of 10}

v. {A,H,j,R,S,T,N} v. {x:x² – 25 =0}

vi.{2,5} vi. {x:x is a letter of word “APPLE”}

Write the set of all vowels in the English alphabet which precede q.

Write the set in the set-builder form.

Which of the following are examples of empty set?

(i) Set of all even natural numbers divisible by 5.

(ii) Set of all even prime numbers.

(iii) {x:x²–2=0 and x is rational}.

(iv) {x:x is a natural number, x < 8 and simultaneously x > 12}.

(v) {x:x is a point common to any two parallel lines}.