Problem 2
Suppose \(A=\\{0,2,4,6,8\\}, B=\\{1,3,5,7\\}\) and \(C=\\{2,8,4\\} .\) Find: (a) \(A \cup B\) (b) \(A \cap B\) (c) \(A-B\) (d) \(A-C\) (e) \(B-A\) (f) \(A \cap C\) (g) \(B \cap C\) (h) \(C-A\) (i) \(C-B\)
Problem 2
List all the subsets of the following sets. $$ \\{1,2, \varnothing\\} $$
Problem 2
Let \(A=\\{0,2,4,6,8\\}\) and \(B=\\{1,3,5,7\\}\) have universal set \(U=\\{0,1,2, \ldots, 8\\} .\) Find: (a) \(\bar{A}\) (b) \(\bar{B}\) (c) \(A \cap \bar{A}\) (d) \(A \cup \bar{A}\) (e) \(A-\bar{A}\) (f) \(\overline{A \cup B}\) (g) \(\bar{A} \cap \bar{B}\) (h) \(\overline{A \cap B}\) (i) \(\bar{A} \times B\)
Problem 2
Write each of the following sets by listing their elements between braces. $$ \\{3 x+2: x \in \mathbb{Z}\\} $$
Problem 3
Write each of the following sets by listing their elements between braces. $$ \\{x \in \mathbb{Z}:-2 \leq x<7\\} $$
Problem 3
Suppose \(A=\\{0,1\\}\) and \(B=\\{1,2\\} .\) Find: (a) \((A \times B) \cap(B \times B)\) (b) \((A \times B) \cup(B \times B)\) (c) \((A \times B)-(B \times B)\) (d) \((A \cap B) \times A\) (e) \((A \times B) \cap B\) (f) \(\mathscr{P}(A) \cap \mathscr{P}(B)\) \((\mathbf{g}) \mathscr{P}(A)-\mathscr{P}(B)\) (h) \(\mathscr{P}(A \cap B)\) (i) \(\mathscr{P}(A \times B)\)
Problem 3
List all the subsets of the following sets. $$ \\{\\{\mathbb{R}\\}\\} $$
Problem 3
Write the following sets by listing their elements between braces. $$ \mathscr{P}(\\{\\{\varnothing\\}, 5\\}) $$
Problem 3
Write out the indicated sets by listing their elements between braces. $$ \left\\{x \in \mathbb{R}: x^{2}=2\right\\} \times\\{a, c, e\\} $$
Problem 3
For each \(n \in \mathbb{N},\) let \(A_{n}=\\{0,1,2,3, \ldots, n\\}\) (a) \(\bigcup_{i \in \mathbb{N}} A_{i}=\) (b) \(\bigcap_{i \in N} A_{i}=\)
