98 342 45 "I B/s A:YO 524c9b02-db6a... a. In (R, d) where d(x, y) = |x – y| (Euclidean Metric space) show that: Q (The set of all rational numbers) is dense (Q = R). b. Vx, y € R*,x = (x1,x2, …… ,...

Extracted text: 98 342 45 "I B/s A:YO 524c9b02-db6a... a. In (R, d) where d(x, y) = |x – y| (Euclidean Metric space) show that: Q (The set of all rational numbers) is dense (Q = R). b. Vx, y € R*,x = (x1,x2, …… , Xr), y = (y1, Y2, , Yk) Show that: ( αx βy) - αβ(χ -y), να, β ε R