270 LIMITS AND OPEN SETS [12] a) {(x, y) : -1 < x < +1, y = 0}, c) {(x. v) : x + y' = 1}, b) {(x, y) : x and y are integers}, d) {(x, y) : x + y < 1}, e) {(x, r) : x = 0 or y = 0}.

Q: Suppose that A = {2,4,6}, B={2,6}, C = {6,8}, and D = {4,6,8}. Determine which of these sets are…

A: given sets are A =2,4,6 B = {2,6} C = {6,8} D = {4,6,8}

Q: What is the cartesian product of sets {1,3,4} and {2,9}?

A: 1, 3, 4  and 2, 9

Q: two example of open set in R, closed set in R, and the closure of that set

A:

Q: Theorem. Show that Closed subsets of compact sets are compact.  Need handwriting solution only.

A:

Q: Given a compact set A and a closed set B. ShOw that AB is compact!

A: