can you pls tell me the concept of sets
Answers
Answer:
set is a collection of well defined objects. example : a group of boys of class 9 of St james school.there are 6 types of sets :singelton set, null set, infinite set,finite set etc
they can be described on the basis of the elements of the sets.
Sets are the well-defined collection of objects.
There are 10 Types of sets:
✪ Singleton Set : Sets that contain only one object.
➜ { 12 } , {0} , { a } , e.t.c
✪ Empty/ Void/ Null Set : Sets that contain zero object.
➜ { }
✪ Finite Sets : Sets that have finite or countable number of objects.
➜ { 1,2,5,8,5,4,8 } , { a,b,c,d,e,f,..., x, y,z }
✪ Infinite Sets : Sets that have infinite number of objects.
➜ { 1,2,3,4,5,... } , { 0,-1,-2,-3,... }
✪ Equal Sets : Sets A and B are said to be equal sets only if they have same number of objects and of same type or if they have same elements.
➜ A = { a,b,c,d,e,f }
B = { a,b,c,d,e,f }
So, A = B
✪ Equivalent Sets: Set A is said to be equivalent to set B if each sets have same number of elements.
➜ A = { 1,2,3,4 }
B = { a,b,c,d }
✪ Subset: Set A is said to be subset of B if all set B contains all elements of set A.
➜ A = {b,c,d}
B = {a,b,c,d,e,f }
So, A ⊆ B
✪ Superset: Set A is said to be superset of B if set A contains all elements of set B.
➜ A = {a,b,c,d,e,f}
B = { b,c,d,e }
So, A ⊇ B
This is for class XI.