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}

Solve 3x+8 gt2 , when (i) x is an integer. (ii) x is a real number.

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

Solve 5x-3 lt 3x+1 when (i) x is an integer (ii) x is a real number.

Solve 5x-3 lt 7 , when (i) x is an integer. (ii) x is a real number.

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

Write the following sets in roster form: A = {x : x is an integer and –3 ≤ x < 7 }

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

Write the negation of each of the follwing quantified statements : {If ZZ is the set of all integers , then EEx in ZZ such that x is a natural 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}

Write the converse of each of the following conditional statements : If x and y are two integers such that (x -y) is always a positive integer , then xgty .