Sets — Class 11 CBSE Mathematics revision notes
A 3-page visual revision sheet for Sets, written for Class 11 CBSE Mathematics. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.
What this Sets sheet covers
- Set
- Roster form
- Set-builder form
- Five kinds of sets
- Empty set
- Finite set
- Infinite set
- Singleton set
- Equal sets
- Subsets and the power set
- Universal set and Venn diagrams
- The four operations
- union: in A or B, or both
- intersection: only what's common to both
- difference: in A but not in B
- complement: everything in U except A
- Union vs intersection: bigger picture or common ground
- Union, A∪B
- Intersection, A∩B
- Complement laws
- De Morgan's laws
- complement of a union
- complement of an intersection
- Cardinal number of a union
- two sets
- disjoint sets, Acap B=∅
- Distributive laws
- intersection distributes over union
- union distributes over intersection
- Symmetric difference, one more operation
- in exactly one of the two, not both
- its cardinal number
- Intervals as sets
- closed, both ends included
- open, both ends excluded
- semi-open, left end excluded
- Symbols
- Traps that cost marks
- Tricks that save time
How CapCompass uses this sheet
These notes are not a standalone PDF. CapCompass plans Mathematics chapter by chapter against your real exam dates and free hours, and when the plan reaches Sets the sheet opens inside the study block itself — at the page covering the sub-topic that block is on, with the timer still running. Revision arrives at the moment the plan says revise, instead of having to be gone looking for.