Let . A relation on is defined as R= (a,b) P P ab>0 . Using this information, answer…

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

P=\{-2,-1,0,1,2\}

. A relation

R

P

is defined as

R=\{(a,b)\in P\times P\mid ab>0\}.

Using this information, answer the following questions: (i) List all ordered pairs in

R

. (ii) Determine the domain and the range of

R

. (iii) How many elements of

P

are not related to any other element under

R

? Give a reason for your answer.