Question

let a{x:x belongs to r ,x^2 -6x +8 =0} and b= {x:x belongs to n ,x^2 =16} find b-a​

Answer 1

Answer:

R={(x,y):x,y∈z,x−yisdivisiblebyn}ForReflexive,x∈zSo⇒(x−x)isdivisiblebyn⇒(x,x)∈z

So, Relation is Reflexive

ForSymmetric⇒Let(x,y)∈R⇒(x−y)isdivisiblebyn.⇒nx−y=c,Remainderis0.⇒ny−x=−c,Remainderisalso0.⇒(y−x)isdivisiblebyn(y,x)∈RSo,RisSymmetric.ForTransitive⇒Let(x,y)∈R&(y,z)∈R⇒(x−y)isdivisiblebyn⇒(y−q)isdivisiblebyn

add both these equation (i) & (ii)

(x−y)=xc,c∈z−v,(y−q)=na,(a∈z)⇒(x−y+y−q)=nc+na,c,

So, R is Transitive

So, the R is Reflexive, Symmetric and Transitive

Then it is Equivalence Relation.

Step-by-step explanation:

i hope this answer is helpful