Write the set A = {1, 4, 9, 16, 25, . . . }in set-builder form.

Write P = {2, 4, 8, 16, 32, 64} in set builder form.

The Fig 2.7 shows a relationship between the sets P and Q. Write this relation (i) in set-builder form (ii) roster form. What is its domain and range?

Write the following sets in the set-builder form : {1,4,9, . . .,100}

Write the following sets in the set-builder form : {2, 4, 6, . . .}

Write the following sets in set-builder form: A={3,6,9,12,15,...}

Match each of the set on the left in the roster form with the same set on the right described in set-builder form: (i) {1, 2, 3, 6} (a) {x : x is a prime number and a divisor of 6} (ii) {2, 3} (b) {x : x is an odd natural number less than 10} (iii) {M,A,T,H,E,I,C,S} (c) {x : x is natural number and divisor of 6} (iv) {1, 3, 5, 7, 9} (d) {x : x is a letter of the word MATHEMATICS}.

Five different digits from the set of numbers {1, 2, 3, 4, 5, 6, 7} are written in random order. Find the probability that five-digit number thus formed is divisible by 9.

Write the following sets in the set-builder form : {5, 25, 125, 625}

Write the following sets in the set-builder form : (3, 6, 9, 12}

Write the following sets in the set-builder form : {2,4,8,16,32}