In 46–54, refer to the Tarski world given in Figure 3.1.1, which is printed again here f...

In 46–54, refer to the Tarski world given in Figure 3.1.1, which is printed again here for reference. The domains of all variables consist of all the objects in the Tarski world. For each statement, (a) indicate whether the statement is true or false and justify your answer, (b) write the given statement using the formal logical notation illustrated in Example 3.3.10, and (c) write the negation of the given statement using the formal logical notation of Example 3.3.10.

For every object x, there is an object y such that if x ≠ y then x and y have different colors.