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Relations And Functions
Complement laws :
Let x be any arbitary element of
∴ ....(ii)
From (i) and (ii), we have
∴ ...(i)
Also, be any arbitary element.
∴ ....(ii)
From (i) and (ii), we have
(iii)
be any arbitary element.
∴ ....(I)
be any arbitary element
∴ .....(ii)
From (i) and (ii) we have
(iv)
By definition : A' = U - A
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A team of eleven best cricket batsmen in the world.
Collection of ten most talented writers of India.
Collection of natural numbers between 100 and 200 (both inclusive).
Collection of all odd integers.
Collection of all divisors of 42.
Collection of beautiful girls in India.
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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