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### Grade 8 - Mathematics4.38 Set, Subset and Super set

 1. A set "A" is a subset of B, if and only if every element of A is also an element of B, and is denoted by A Ì B. Example: A = {a,e,i,o,u}, B = {a,b,c,d,e,f,g,h,...........,z} All the elements in the set A are in set B. a Î A and a Î B e Î A and e Î B i Î A and i Î B o Î A and o Î B u Î A and u Î B \ A Ì B [Read as A subset of B] The above statement is also expressed as B contains A this is written as B É A and read as B is super set of A. 2. Every set is a subset of itself. Example: A = {1,2,3}, B = {1,2,3} Every element of A is also an element of B. \ A Ì B ---------(I) Similarly every element of B is also in A. \ B Ì A ---------(II) From the above tow statements A = B \ Every set is a subset of itself. 3. Y Ì X and Y¹ X, then Y is called the proper subset of X. Example: X = {1,2,3,4}, Y = {3,4} From above two sets every element of Y is also an element of X. \ Y Ì X And we observe that the two sets are not equal i.e.Y¹ X. 4. A is not a subset of B if A contains at least one element which is not in B. A Ë B or B Ë A. 5. The empty set is a subset of every set. Directions: Check the given statements true or false. Also write at least ten examples of your own.
 Q 1: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then A Ë B is ______.FalseTrue Q 2: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then B Ì A is ______.FalseTrue Q 3: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then A Ì C is _______.TrueFalse Q 4: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then Æ Ì B is _______.TrueFalse Q 5: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then B Ì C is _______.TrueFalse Q 6: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then C Ë B is ________.FalseTrue Q 7: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then A Ë Q is _______.TrueFalse Q 8: If A = {1,2,3,4} ; B = {2,4} ; C = {1,2,3,4,7} ; Æ = {} ; Q = {a,e,i,o,u} Then {e} Ì Q is ______.FalseTrue Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!

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