A relation R is defined from a set A={2,3,4,5} to set B={3,6,7,10} as follows '(x,y) belongs to R if and only if x divides y'. Express R as a set of ordered pairs and determine the domain and range of R, also find the inverse of R.

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Q. A relation

R

is defined from a set

A = [2, 3, 4, 5]

to a set

B = [3, 6, 7, 10]

as follows:

(x, y) \in R \Leftrightarrow x

is relatively prime to

y

.Express R as a set of ordered pairs and determine its domain and range.

A relation R is defined from a set A = {2, 3, 4, 5} to a set B = {3, 6, 7, 10} as follows : ${x, y} ϵ R \Leftrightarrow x$ is relatively prime to y. Express R as a set of ordered pairs and determine its domain and range.

Q. A relation R is defined from a set A = [2, 3, 4, 5] to a set B = [3, 6, 7, 10] as follows:
(x, y) ∈ R ⇔ x is relatively prime to y
Express R as a set of ordered pairs and determine its domain and range.

Let A be the set of first natural numbers and let R be a relation on A defined as follows :

$(x, y) ϵ R \Leftrightarrow x \leq y$

Express R and $R^{- 1}$ as sets of ordered pairs. Determine also

(i) The domain of $R^{- 1}$

(ii) The range of R.

Q. Let A be the set of first five natural numbers and let R be a relation on A defined as follows:
(x, y) ∈ R ⇔ x ≤ y
Express R and R⁻¹ as sets of ordered pairs. Determine also (i) the domain of R⁻¹ (ii) the range of R.

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