Mathematics, 15.09.2021 06:00 Sabby5069
Answer the following questions completely. 1. Let A = {2, 3, 4} and B= {6, 8, 10} and define a relation R from A x B as follow: For all (x, y) Ꞓ A x B, (x, y) Ꞓ means that x/y is an integer.
a. Is 4 R 6? 4 R 8? Is (3, 8) Ꞓ R? Is (2, 10) Ꞓ R?
b. Write R as a set of ordered pairs.
c. Write the domain and co-domain of R.
d. Draw an arrow diagram for R. 2. Let E = {1, 2, 3} and F= {-2, -1, 0} and define a relation T from E to F as follows: For all (x, y) Ꞓ E x F, (x, y) Ꞓ T means that is an integer.
a. Is 3 T 0? Is 1 T (-1)? Is (2, -1) Ꞓ T? Is (3, -2) Ꞓ T?
b. Write T as a set of ordered pairs.
c. Write the domain and co-domain of T.
d. Draw an arrow diagram for T.
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