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Standard VI

Mathematics

Prime and Composite Numbers

Take the set ...

Question

Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram.

( i ) X = { x | x $\in$ N, and 7 < x < 15}

( ii ) Y = { y | y $\in$ N, y is prime number from 1 to 20}

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Solution

We have,

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20};

X = {x | x $\in$ N, and 7 < x < 15} = {8, 9 ,10, 11, 12, 13, 14}; and

Y = {y | y $\in$ N, y is prime number from 1 to 20} = {2, 3, 5, 7, 11, 13, 17, 19}

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Similar questions

Q. Taking the set of natural numbers as the universal set, write down the complements of the following sets:
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Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram. ( i ) X = { x | x∈N, and 7 < x < 15} ( ii ) Y = { y | y ∈N, y is prime number from 1 to 20}

We have, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}; X = {x | x∈ N, and 7 < x < 15} = {8, 9 ,10, 11, 12, 13, 14}; and Y = {y | y ∈N, y is prime number from 1 to 20} = {2, 3, 5, 7, 11, 13, 17, 19}

Take the set of natural numbers from 1 to 20 as universal set and show set X and Y using Venn diagram.

( i ) X = { x | x $\in$ N, and 7 < x < 15}

( ii ) Y = { y | y $\in$ N, y is prime number from 1 to 20}

We have,

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20};

X = {x | x $\in$ N, and 7 < x < 15} = {8, 9 ,10, 11, 12, 13, 14}; and

Y = {y | y $\in$ N, y is prime number from 1 to 20} = {2, 3, 5, 7, 11, 13, 17, 19}