Mathematics: •(10 pts) prove that the relation s= {(x,y) e rr: x^2=y^2} is reflexive on r. symmetric and transitive.

i dont know lolStep-by-step explanation:...

•(10 pts) prove that the relation s= {(x,y) e rr:

jachecj3269

02.01.2022

Step-by-step explanation:

Given that S is a relation in R such that

x,y is related if

x^2=y^2 for x,y real numbers

For any real number we have

x^2=x^2 hence S is reflexive

Similarly whenever

x^2=y^2 we get

y^2=x^2 Hence symmetric

When $x^2=y^2 and\\y^2=z^2$

we get

x^2=z^2

Thus transitive

Thus we find that S is reflexive, symmetric and transitive on R

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