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Relations And Functions
In a group of 400 people, 250 can speak Hindi and 200 can speak English. How many people can speak both Hindi and English?
Let A = set of people who can speak Hindi.
Let B = set of people who can speak English.
Number of people = 400 ...(i)
Number of people who can speak hindi = 250 ....(ii)
Number of people who can speak English = 200 ...(iii)
Number of people who can speak both Hindi and englsih =
We know that
∴
Hence, the number of people, who can speak both languages.
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Collection of natural numbers between 100 and 200 (both inclusive).
Collection of all odd integers.
Collection of all divisors of 42.
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Fill in the blanks in the following table:
Numbers |
Closed under |
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Addition |
Subtraction |
Multiplication |
Division |
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Rational numbers |
Yes |
Yes |
No |
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Integers |
Yes |
No |
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Whole numbers |
... |
Yes |
||
Natural numbers |
No |
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i9 + i19
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