Question

19. If U - {1, 2, 3, 4) and R = {(x, y): y > x for all x, y EU), then find the domain and range
of R.
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Answer 1

Answer:

domain={1,2,3}  range-{2,3,4}

Step-by-step explanation:

according to condition y>x;

values in U which are less in domain and the values greater then domain of set U are the range of the function.

Answer 2

Given:

$U= \{1,2,3,4\}\\\\R= {(x,y):y>x \ for \ all \ x, y \ EU }$

To find:

Domain and range

Solution:

$U= \{1,2,3,4\}\\\\R=\{(x,y),y>x \ for \ all \ x, \ y \ belong \ to U\}\\\\R=\{(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)\}$

The domain (R) is the collection of all values of x in a given relation.

$\therefore \\\\ \ domain \ of \ R={1,2,3}$

The Range(R) is the collection of all value of y in given relation.

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