21127 Chapter 3: Chapter 3- Sets

1. Show that the following relationships exist, given the following sets for X and Y.

X = {1, 5, 10} Y = {10, 20, 30}

(a) S X + Y = S Y + S X

(b) S a X = a S X where a = 5.

(c) S Y² ( S Y)²

(d) S S X@Y = S X S Y

(e) S 1/N Where N = 5.

2. Solve the following system of two equations and two unknowns using matrix notation and mathematics. Then show the same answer using substitution.

10X+ 5Y = 50

5X-5Y = 10