A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.

Which of the following relations are functions? Give reasons.
(i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}
(ii) {(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}

Note: All functions are relations but all relations are not functions.

Find the GCF (GCD) of the given pair of monomials.

A square has lines of symmetry

Let R be a relation from N-N defined by R= { (a,b) : a, b belong to N and a= b2 }.Are the following true ?
a) (a,a) ∈R , for all a ∈N
b) (a,b) ∈R implies (b,a) ∈R
c) (a,b) ∈R , (b,c) ∈R implies (a,c) ∈R
Justify your answer in each case.

Fundamental Algebra:
1. Add:
(i) x² – y² – 1 ; y² – 1 – x² ; 1 – x² – y²

Draw and find the number of lines of symmetry for the given regular pentagon.

Find the number of lines of symmetry for a regular heptagon.

If A is a relation on a set R , then which one of the following is correct ?

Let A and B two sets such that n( AxB)= 6 . If three elements of AXB are ( 3,2)(7,5)(8,5), then

Find the number of diagonals of a 50-gon

Find the GCF (GCD) of the given pair of monomials.

Find the number of diagonals of a 100-gon.

Factor out the GCF from the given polynomial.

Factor out the GCF from the given polynomial.