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Home > Algebra > Set Theory
Set Theory
1. Set Theory eg. `A={x<=5; x in N}, B={2<=x<=8; x in N}, C={x^3-3x^2-4x=0},` Find
1. Union eg. `A uu (B uu C)=(A uu B) uu C`
2. Intersection eg. `A nn (B uu C)=(A nn B) uu (A nn C)`
3. Complement eg. `(A uu B)'=A' nn B'`
4. Power set (Proper Subset) eg. `P(A)`
5. Difference eg. (1)`A-B`, (2) `A-(B uu C)=(A-B) nn (A-C)`
6. Symmetric difference eg. (1)`A Delta B`, (2) `B Delta C`, (3) `A Delta C`
7. Cross Product eg. `A xx B`
8. Prove that any two expression is equal or not eg. `A-(B uu C)=(A-B) nn (A-C)`
9. Cardinality of a set eg. `n(A)`
10. is Belongs to a set eg. `2inB` ?
11. is Subset of a set eg. `AsubB` ?
12. is two set Equal or not eg. `A=B` ?


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