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

Step-by-step explanation:

Given that S is a relation in R such that

x,y is related if

for x,y real numbers

For any real number we have

hence S is reflexive

Similarly whenever

we get

Hence symmetric

When

we get

Thus transitive

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

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step-by-step explanation:

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