Question

For any events $A$ and $B$, prove that $A \cup B = (AB^c)\cup(AB)\cup(A^cB)$.

score 136 · Answer 1 · 2026-04-15 10:17:18

136

Views

For any events $A$ and $B$, prove that $A \cup B = (AB^c)\cup(AB)\cup(A^cB)$.

Published on 15 Apr 2026 - 10:17

score 68 · Answer 2 · 2026-04-11 14:45:21

68

Views

Set equivalence - Zorich's real analysis

Published on 11 Apr 2026 - 14:45

score 485 · Answer 3 · 2026-04-12 13:32:51

485

Views

Can a set and it's PowerSet have anything in common?

Published on 12 Apr 2026 - 13:32

score 140 · Answer 4 · 2026-04-12 10:35:37

140

Views

What is the least and greatest element in symmetric but not reflexive relation over $\{1,2,3\}$?

Published on 12 Apr 2026 - 10:35

score 52 · Answer 5 · 2026-04-13 05:28:43

52

Views

Given two closed intervals M, N what is the definition of M - N?

Published on 13 Apr 2026 - 5:28

score 357 · Answer 6 · 2026-04-15 08:26:16

357

Views

Cartesian product as a collection of indexed families

Published on 15 Apr 2026 - 8:26

score 56 · Answer 7 · 2026-04-17 16:02:47

56

Views

Prove that $R[A\setminus B]\subseteq R[A]\setminus R[B]$

Published on 17 Apr 2026 - 16:02

score 133 · Answer 8 · 2026-04-15 10:46:24

133

Views

A subset of a finite set is finite

Published on 15 Apr 2026 - 10:46

score 164 · Answer 9 · 2026-04-17 13:36:12

164

Views

Cardinality of $S=\{A,B\}$ where $A=B=\{1,2,3\}$.

Published on 17 Apr 2026 - 13:36

score 95 · Answer 10 · 2026-04-12 12:14:36

95

Views

How to express the set of intersections between two ordered sets by selecting exactly one element per index?

Published on 12 Apr 2026 - 12:14

score 42 · Answer 11 · 2026-04-16 08:16:21

42

Views

Singletons and Pair Sets

Published on 16 Apr 2026 - 8:16

score 253 · Answer 12 · 2026-04-11 21:33:02

253

Views

Proving that $A+A \not\subset 2A $ using a particular definition for sum of sets

Published on 11 Apr 2026 - 21:33

score 812 · Answer 13 · 2026-04-14 01:09:02

812

Views

Each natural number is equal to the set of all natural numbers less than it

Published on 14 Apr 2026 - 1:09

score 153 · Answer 14 · 2026-04-14 16:22:09

153

Views

$\forall k,n \in\mathbb N:k\in n\iff k\subsetneq n$ [Proof Verification and Suggestion for shorter or simpler proof]

Published on 14 Apr 2026 - 16:22

score 474 · Answer 15 · 2026-04-08 20:17:50

474

Views

Using a function in set-builder notation?

Published on 08 Apr 2026 - 20:17

List Question

For any events $A$ and $B$, prove that $A \cup B = (AB^c)\cup(AB)\cup(A^cB)$.

Set equivalence - Zorich's real analysis

Can a set and it's PowerSet have anything in common?

What is the least and greatest element in symmetric but not reflexive relation over $\{1,2,3\}$?

Given two closed intervals M, N what is the definition of M - N?

Cartesian product as a collection of indexed families

Prove that $R[A\setminus B]\subseteq R[A]\setminus R[B]$

A subset of a finite set is finite

Cardinality of $S=\{A,B\}$ where $A=B=\{1,2,3\}$.

How to express the set of intersections between two ordered sets by selecting exactly one element per index?

Singletons and Pair Sets

Proving that $A+A \not\subset 2A $ using a particular definition for sum of sets

Each natural number is equal to the set of all natural numbers less than it

$\forall k,n \in\mathbb N:k\in n\iff k\subsetneq n$ [Proof Verification and Suggestion for shorter or simpler proof]

Using a function in set-builder notation?

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