Question: Problem 8: Let E C R be a nonempty set. For x, y E E, we say that x ~y (or x and y are

Problem 8: Let E C R be a nonempty set. For x, y
Problem 8: Let E C R be a nonempty set. For x, y E E, we say that x ~y (or x and y are rationally related) if x - y E Q. Show that the relation ~ is an equivalence relation (it is reflexive, symmetric, and transitive)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!