Define a relation Q on the set Rx R as follows. For all ordered pairs (w, x) and (y, z) in RxR, (w, x) Q (y, z) = x= z. (a) Prove that is an equivalence relation. To prove that is an equivalence relation, it is necessary to show that is reflexive, symmetric, and transitive. Proof that Q is an equivalence relation: (1) Proof that Q is reflexive: Construct a proof by selecting sentences from the following scrambled list and putting them in the correct order.
a. By the reflexive property of equality, x = x
b. By definition of Q, (w, x) = (w, x).
c. By the symmetric property of equality, w = w.
d. By the reflexive property of equality, w = w.
e. By the symmetric property of equality, x = x.