If `A={x|x` is prime number and `x<30},` find the number of different rational numbers whose numerator and denominator belong to `Adot`

Which of the following sets are null sets? D={ x:x is a prime number and 6 lt x lt 8 }.

Let A={x : x is a natural number}, B ={x : x is an even natural number} C={x : x is an odd natural number and D={x : x is a prime number} Find A cap B, A cap C, A cap D, B cap C, B cap D and C cap D .

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}.

Match the roster form with set builder form. (i) {1,2,3,6} (a) {x : x is prime number and a divisior of 6} (ii) {2,3} (b) {x : x is an odd natural number smaller than 10} (iii) {m,a,t,h,e,I,c,s} (c) {x : x is a natural number and divisor of 6} (iv) {1,3,5,7,9} (d) {x : x is a letter of the word MATHEMATICS}

Write the contrapositive and converse of the following statements. If x is a prime number, then x is odd.

Consider a universal set U = {1,2,3,4,.....10} Set P = {x | x is a prime number} Set E = {2,4,6,8,10} Set O = {1,3,5,7,9} Set C ={x\ x is a composite number} Find the number of elements in E-C

Let A={x:x inNN},B={x:x in 2n,ninNN},C={x:x=2n-1, n in NN} and D= {x:x is a prime number} then____ A capC is

Let A={x:x inNN},B={x:x in 2n,ninNN},C={x:x=2n-1, n in NN} and D= {x:x is a prime number} then____ C cap D is

Let A={x:x inNN},B={x:x in 2n,ninNN},C={x:x=2n-1, n in NN} and D= {x:x is a prime number} then____ BcapC is

Write the following sets in roster form: D = {x : x is a prime number which is divisor of 60}