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Let A be the set of all students who enjoy solving puzzles
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Write My Essay For MeLet B be the set of all students who do well in IST 230
Now use the following “facts” to give a formal proof that A = B (Hint: remember you must prove two separate things). The “facts” are:
(1) If a student is a good problem solver, then the student does well in IST 230
(2) If a student enjoys solving puzzles, then the student is a good problem solver
(3) If a student does well in IST 230, then the student is a good problem solver
(4) If a student is a good problem solver, then the student enjoys solving puzzles
2. Give the definition and a concrete example of a proper subset
3. Let A be the set of all integers x such that x is = k2 for some integer k
Let B be the set of all integers x such that the square root of x, SQRT(x), is an integer
Give a formal proof that A = B. Remember you must prove two things: (1) if x is in A, then x is in B, AND (2) if x is in B, then x is in A
4. Explain when two sets are disjoint and give a concrete example
Tell whether or not the following are equal. Explain your answers. HINT: look carefully at the notations used
5. {1, 2, 1, 3} = {3, 2, 1}
6. (1, 2, 1, 3) = (3, 2, 1)
7. (1, 2, 1, 3) = (1, 2, 3, 1)
Let A = {5, 6} B = {g, h, i} C = {a, b}
8. Calculate A x B x C =
Let A = {1, 2, x} B = {d, e, f} C = {2, x, y} U = {1, 2, d, e, f, x, y}
9. Calculate A ? C =
10. Calculate A ? B =
11. Calculate A – C =
12. Calculate CC (the set complement of C) =
13. Give an example of a partition of set U
