Let A = {l, 2} and let B = {3, 4, 5}.

a. Illustrate, using A and B, why we consider that 2 + 3 = 5. Use similar reasoning with sets of your own choice to decide what you would consider to be the value of

i. 3 + ϰ₀,           

ii.ϰ₀ + ϰ₀ .

b. Illustrate why we consider that 2 • 3 = 6 by plotting the points of A x B in the plane R x R Use similar reasoning with a figure in the text to decide what you would consider to be the value of ϰ₀ • ϰ₀.