Answer to Question #305972 in Math for oslo

Question

a) Consider the following sets and use them to answer the questions that follow:

S1 = {1, 3, 5, 7, 9}.

S2 = {2, 3, 4, 6}.

S3 = {2, 4, 8}.

i). Define the Cartesian Product, S1XS2.

ii). Define the Cartesian Product, S1XS2XS3.

b) From the Cartesian Product S1XS2 defined above, what would the following relational expressions yield?

NOTE: Be sure to explain.

i). K= {(x, y) | (x belongs toS1, y belongs to S2 and x = y}.

ii). L = {(x, y) | (x belongs to S1, y belongs to S2 and 2x - y = 0}.

iii). M = {(x, y) | (x belongs to S1, y belongs to S2 and x = y2}.

c) From the Cartesian Product S1XS2XS3 defined above, what would the following relational expressions yield?

NOTE: Be sure to explain.

i). P = {(x, y) | (x belongs to S1, y belongs to S2, z belongs to S3 and x = y + z}.

ii). Q = {(x, y, z) | (x belongs to S1, y belongs to S2, z belongs to S3 and 2x + y = z}.

iii). R = {(x, y, z) | (x belongs to S1, y belongs to S2, z belongs to S3 and y2= z}.