A Set X-y-2-y- 10- y- then the set X is a

Given a Set X={y: 2 lt;y≤ 10, y∈𝕀}. nbsp; In roster form, we can write the set as: X={ 1,0,1,2,...,8,9,10} ⇒ n(X)=12, which is finite. Hence, X is a finite ...

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Standard XII

Mathematics

Finite Set

A Set X=y:-2<...

Question

A Set $X = {y : - 2 < y \leq 10, y \in I},$ then the set $X$ is a

Null set

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Finite Set

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Solution

The correct option is B Finite Set
Given a Set $X = {y : - 2 < y \leq 10, y \in I} .$
In roster form, we can write the set as:
$X = {- 1, 0, 1, 2, . . ., 8, 9, 10}$
$\Rightarrow n (X) = 12,$ which is finite.
Hence, $X$ is a finite set.

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, then find the sets

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The solution set the given set of equations will be

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Q. Write the following relation as the sets of ordered pairs:

(i) A relation R from the set [2, 3, 4, 5, 6] to the set [1, 2, 3] defined by x = 2y.
(ii) A relation R on the set [1, 2, 3, 4, 5, 6, 7] defined by (x, y) ∈ R ⇔ x is relatively prime to y.
(iii) A relation R on the set [0, 1, 2, ....., 10] defined by 2x + 3y = 12.
(iv) A relation R from a set A = [5, 6, 7, 8] to the set B = [10, 12, 15, 16,18] defined by (x, y) ∈ R ⇔ x divides y.

Write the following relations as the sets of ordered pairs :

(i) A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y.

(ii) A relation R from the set {1, 2, 3, 4, 5, 6, 7} defined by $(x, y) ϵ R \Leftrightarrow x$ is relatively prime to y.

(iii) A relation R on the set {0, 1, 2, ...., 10} defined by 2x + 3y = 12.

(iv) A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by $(x, y) ϵ R \Leftrightarrow x$ divides y.

Q. Consider a relation from set

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to set

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such that

y = \frac{1}{x} .

where

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X : {2, .25, 100} Y : {0.5, 4, 0.01}

Is it a function or a relation?

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A Set X={y:−2<y≤10,y∈I}, then the set X is a

The correct option is B Finite SetGiven a Set X={y:−2<y≤10,y∈I}. In roster form, we can write the set as: X={−1,0,1,2,...,8,9,10} ⇒n(X)=12, which is finite. Hence, X is a finite set.

A Set $X = {y : - 2 < y \leq 10, y \in I},$ then the set $X$ is a

The correct option is B Finite Set
Given a Set $X = {y : - 2 < y \leq 10, y \in I} .$
In roster form, we can write the set as:
$X = {- 1, 0, 1, 2, . . ., 8, 9, 10}$
$\Rightarrow n (X) = 12,$ which is finite.
Hence, $X$ is a finite set.