The documentation for the computer language Java recommends that when an "equals method" is defined for an object, it be an equivalence relation. That is, if R is defined as follows: xRy x. equals(y) for all objects in the class, then R should be an equivalence relation. Suppose that in trying to optimize some of the mathematics of a graphics application, a programmer creates an object called a point, consisting of two coordinates in the plane. The programmer defines an equals method as follows: if p and q are any points, then p. equals(q) the distance from p to q is less than or equal to c, where c is a small positive number that depends on the resolutions of the computer display. Is this programmer's equals method an equivalence relation? Justify your