Write the set {x : x is a positive integer and `x^(2) < 40`} in the roster form.

Show the relationships among the following three sets in respect of subsets and supersets: ZZ^+= { x : x is a positive integer} ZZ = { x : x is an integer} RR = { x : x is a real number}

Match each of the set on the left described in the roster form with the same set on the right described in the set-builder form : (i) {P, R, I, N, C, A, L} (a) { x : x is a positive integer and is a divisor of 18} (ii) { 0 } (b) { x : x is an integer and x^(2) – 9 = 0 } (iii) {1, 2, 3, 6, 9, 18} (c) {x : x is an integer and x + 1= 1 } (iv) {3, –3} (d) {x : x is a letter of the word PRINCIPAL}

Find which of the following sets are infinite and which are infinite sets: B={x:x is a positive whole number and x lt 7 },

Which of the following pairs of sets are disjoint { x : x is an even integer } and { x : x is an odd integer}

Match roster forms with the set builder form. (i) {p,r,I,n,c,a,l} (a) {x : x is a positive integer and is a divisor of 18} (ii) {0} (b) {x : x is an integer and x^(2)-9=0} (iii) {1,2,3,6,9,18} (c) {x : x is an integer and x+1=1} (iv) {3,-3} (d) {x : x is a letter of the word PRINCIPAL}

In the following, state whether A = B or not: A = {2, 4, 6, 8, 10} B = { x : x is positive even integer and x ≤ 10 }

List all the elements of the following sets : C = {x : x is an integer, x^(2) ≤ 4 }

Prove that (""^n C_0)/x-(""^n C_1)/(x+1)+(""^n C_2)/(x+2)-.....+(-1)^n(""^n C_n)/(x+n)=(n !)/(x(x+1) . . . (x-n)), where n is any positive integer and x is not a negative integer.

If x and y (xgty) be two positive integers and x^(2)-y^(2)=11xx9 , then

Write down the contrapositive of the following " if ………., then ……" implications : If x is an integer and x^(2) is even then x is even .