Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Set Identities
Set identities in algebraic proofs for set theory
| Law | Equation |
|---|---|
| Commutative Laws (a) | A ∪ B = B ∪ A |
| Commutative Laws (b) | A ∩ B = B ∩ A |
| Associative Laws (a) | (A ∪ B) ∪ C = A ∪ (B ∪ C) |
| Associative Laws (b) | (A ∩ B) ∩ C = A ∩ (B ∩ C) |
| Distributive Laws (a) | A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) |
| Distributive Laws (b) | A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) |
| Identity Laws (a) | A ∪ ∅ = A |
| Identity Laws (b) | A ∩ U = A |
| Complement Laws (a) | A ∪ A' = U |
| Complement Laws (b) | A ∩ A' = ∅ |
| Double Complement Law | (A')' = A |
| Idempotent Laws (a) | A ∪ A = A |
| Idempotent Laws (b) | A ∩ A = A |
| Universal Bound Laws (a) | A ∪ U = U |
| Universal Bound Laws (b) | A ∩ ∅ = ∅ |
| De Morgan's Laws (a) | (A ∪ B)' = A' ∩ B' |
| De Morgan's Laws (b) | (A ∩ B)'= A' ∪ B' |
| Absorption Laws (a) | A ∪ (A ∩ B) = A |
| Absorption Laws (b) | A ∩ (A ∪ B) = A |
| Complements of U and ∅ (b) | U' = ∅ |
| Complements of U and ∅ (b) | ∅' = U |
| Set Difference Law | A - B = A ∩ B' |
Created by:
user-1737194
Popular Math sets