1. Define a relation R on the integers by declaring xRy if 2x-3y is odd, the...

1. Define a relation R on the integers by declaring xRy if 2x-3y is odd, the R is:

A) transitive, but not symmetric and not reflexive

B) reflexive and symmetric, but not transitive

C)not reflexive, not symmetric, and not transitive

D)reflexive, symmetric, and transitive

E)symmetric, but not transitive and not reflexive

2. Let R be equivalence relation on the integers defined by: xRy if x≅y(mod 8). which of the following numbers is an element of the equivalence class [18]?

A)-10

B)6

C)-6

D)12

Expert Solution

Colby Messinger answered 1 year ago

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