Mark each statement True or False. Justify each answer. (a) Axioms A1 to A5, M1 to M5, and DL describe an algebraic system known as a field. (b) The property that x + y = y + x for all x, y ∈ R is...

Mark each statement True or False. Justify each answer.

(a) Axioms A1 to A5, M1 to M5, and DL describe an algebraic system known as a field.

(b) The property that x + y = y + x for all x, y ∈ R is called an associative law.

(c) If x, y, z ∈ R and x <><>