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Relations And Functions

Question
CBSEENMA11013340
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 Let A, B, C, be three sets. If A ∪ Band B ∊ C, then A ∊ C. Is the statement true ? If not give example.

Solution

The statement is not TRUE as illustrated by the following example :
A = {a, b,},   B = { a, b, c},   C = {a, b, c,}
Clearly,    space space space space space space space space space space space space space space space space space space space space space space space space space space space straight A space subset of space straight B space and space space straight B space element of space straight C space space space space space space space space space space space space space space space space space space space space space space space space space space space space But comma space space straight A space not an element of space straight C

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Some More Questions From Relations and Functions Chapter

Collection of all the months of a year beginning with the letter J.

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Fill in the blanks in the following table:

Numbers

Closed under
 

Addition

Subtraction

Multiplication

Division

Rational numbers

Yes

Yes

  

No

Integers

  

Yes

  

No

Whole numbers

...

  

Yes

  

Natural numbers

  

No

    
 

i9 + i19

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