Question

Consider set A={1,2,3}and the relation R={(1,2)}, then ? Is a transitive relation.state true or false

Answer 1

Step-by-step explanation:

Given that:

Consider set A={1,2,3}and the relation R={(1,2)}, then ? Is a transitive relation.state true or false

Solution:

To find that given relation is transitive or not and the given statement is true or false.

First go through the definition of transitive relation,it state that

if aRb,bRc then aRc should be there,i. e. if

(a,b) belongs to R

(b,c) belongs to R

then (a,c) must belongs to R.

Note: Always remember that if (b,c) does not belong to R,then one should not check for(a,c)

Here

A={1,2,3}

R= {(1,2)}

so, the relation is transitive.

because (2,3) is not present ,so one need not to check for (1,3).

Given statement is true.

Given relation is transitive.

Hope it helps you.

Answer 2

given statement is true......