Question

4. A is the set of prime numbers smaller than to, B is the set of odd number less than 10 and is the set of even numbers less than 10. How many o of the fowing st following statements are true?. & ACB (1) BCA CACC (1) BCL a i) CC B. ciu) CCA​

Answer 1

Dear Student,

★ Answer :

All Statements are False

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✫ We Know that,

➼ Prime Number ⇒ A Number divided by 1 & itself is called Prime Number.

Eg = 2 , 3 , 5 , 7 , 11 ...

➼ Odd Number  ⇒ A Number divided by 2 and remainder is 1 is called Odd Number

Eg = 2 , 4 , 6 , 8 ,...

➼ Even Number ⇒ Numbers divisible by 2 is called Even Number.

Eg = 2 , 4 , 6 , 8 ,..

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★ To Find :

i )  A ⊂ B       ii ) B ⊂ A        iii ) A ⊂ C          iv ) C ⊂ A

v ) B ⊂ C        vi ) C ⊂ B

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★ Given :

A is the set of prime numbers smaller than to, B is the set of odd number less than 10 and is the set of even numbers less than 10.

★ Explanation :

 ⇒ Subset ( C ) :  A = { 1 , 2 }   , B = { 1 , 2 , 3 }

                        Here ,

 ⇒   A ⊂ B ,  Each and Every element of A

                                               should present in B.

➠ By Using Property of Prime , Even , Odd Rules & Given Condition

⇒ A = { 2 , 3 , 5 , 7 }

⇒  B = { 1 , 3 , 5 , 7 , 9 }

⇒  C = { 2 , 4 , 6 , 8 }

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➼ Now ,

TO FIND :

➼ i )  A ⊂ B       ii ) B ⊂ A        iii ) A ⊂ C          iv ) C ⊂ A  

⇒ False          ⇒ False         ⇒   False             ⇒ False

➼ v ) B ⊂ C        vi ) C ⊂ B

⇒ False               ⇒ False

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➥ Answer : All Statements are False

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