Let X denote the set of color names from Example 8.16. Define three relations Red, Green, and Blue on X × {0, 1, . . . , 255} such that hx,r, g, bi ∈ C if and only if hx,ri ∈ Red, hx, gi ∈ Green, and...

Let X denote the set of color names from Example 8.16. Define three relations Red, Green, and Blue on X × {0, 1, . . . , 255} such that hx,r, g, bi ∈ C if and only if hx,ri ∈ Red, hx, gi ∈ Green, and hx, bi ∈ Blue.

1. Repeat Exercise 8.46 using only −1 , ◦, and the relations Red, Green, Blue, ≤, and =.