Let R be a relation on a set A. Match the beginning of each sentence below with an end that best completes the sentence. To prove that R is reflexive, To prove that R is not reflexive, To prove that R is symmetric, To prove that R is not symmetric, To prove that R is transitive, To prove that R is not transitive, To prove that R is an equivalence relation, To prove that R is not an equivalence relation, [ Choose ] show that for all x,y in A, x is related to y but y is not related to x. show that for some x,y in A, x is related to y but y is not related to x. v show that for all x,y in A, if x is related to y then y is related to x. show that some element of A is not related to itself. show that R satisfies every one of of the following properties: reflexivity, symmetry, and transitivity. show that R does not satisfy every one of of the following properties: reflexivity, symmetry, and transitivity. show that R satisfies at least one of the following properties: reflexivity, symmetry, and transitivity. show that every element of A is not related to itself. show that for some x,y in A, if x is related to y then v is related to x. show that some element of A is related to itself. show that for some x,y,z in A, if X is related to y and y is related to z then x is related to z. show that every element of A is related to itself. show that for all x,y,z in A, x is related to y and y is related to z, but x is not related to z. show that for all x,y,z in A, if x is related to y and y is related to z then x is related to z. show that R does not satisfy at least one of the following properties: reflexivity, symmetry, and transitivity. show that for some x,y,z in A, x is related to y and y is related to z, but x is not related to z. T [ Choose | [ Choose | [ Choose |