In Exercises 21 and 22, mark each statement True or False. Justify each answer.a. A linear transformation from R to Rn is called a linear functional.b. If f is a linear functional defined on Rn, then there exists a real number k such thatn.c. If a hyperplane strictly separates sets A and B, thend. If A and B are closed convex sets andthen there exists a hyperplane that strictly separates A and B.

Finite Mathematics Chapter Ten: Sets A set is collection of objects. Elements are individual members of a set. Sets are typically expressed in one of two ways. The roster method simply lists all the of the elements of a set. A = {a,e,i,o,u} SetBuilder notation provides a rule that defines the set. A = {x | x is a vowel} The symbol greek ‘e’ indicates...