Question

Given set A = {1,2,3,…..,10}. Relation R is defined in set A as R = {(a,b) ∈ A X A: a = 2b}. Then range of relation R is {2,4,6,8,10}{1,3,5,7,9}{(2,1), (4,2), (6,3), (8,4), (10,5)}{1,2,3,4,5}

Answer 1

Answer:

ANSWER: {1,2,3,4,5}

Step-by-step explanation:

According to Relation R= {(2,1), (4,2), (6,3), (8,4),(10,5)}

Therefore Range= {1,2,3,4,5}

Answer 2

Answer:

The ordered pairs that are $(2,1)(4,2),(6,3),(8,4),(10,5)$

Range of $R=\{1,2,3,4,5\}$

Step-by-step explanation:

• An ordered pair is a pair of objects where one element is designated first and the other element is designated second and it is denoted as
• A relation from set A to set B is a subset of. So if R is a relation from set A to set B. Then and if, then the element is related to the element and we write aRb. A relation from set A to set B is represented as Relation R from set A to set A also known as relation R in set A.

Step 1: Find ordered pairs

$\begin{aligned}&\text { Since } A=\{1,2,3, \ldots,, 9,10\} \\&\quad \begin{array}{l}a b \quad \Rightarrow b=\frac{1}{2} a \\a, b \in A \times A\end{array}\end{aligned}$

This means $b$ is half of $a$

$\begin{tabular}{|l|l|l|l|l|l|l|} \mathbf{a} & 2 & 4 & 6 & 8 & 10 & 12 \\ \mathbf{b} & 1 & 2 & 3 & 4 & 5 & 6 \\Whether & yes & yes & yes & yes & yes & no \\ a, b \in A & & & & & &\end{tabular}$

So the ordered pairs are $(2,1)(4,2),(6,3),(8,4),(10,5)$

Step 2: Find a range of R.

Range of $R=$set of all second elements of ordered pairs

Range of $R=\{1,2,3,4,5\}$