If A - x- -2 - x 2- x - then the number of proper subsets of A is

Name: JEE- Grade 11- Mathematics- Fundamentals of Mathematics 11- Session 11- D01
Uploaded: 2022-07-04T10:36:42+05:30
Description: A = { −2, −1, 0, 1} ⇒ n(A) = 4 ∴ Number of proper subsets = 2^n(A) − 1 = 15 ...

A = { −2, −1, 0, 1} ⇒ n(A) = 4 ∴ Number of proper subsets = 2^n(A) − 1 = 15 ...

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Standard XIII

Mathematics

Proper and Improper subset

If A = x: −2 ...

Question

If $A = {x : - 2 \leq x < 2, x \in Z}$ , then the number of proper subsets of $A$ is

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Solution

The correct option is B $15$
$A = {- 2, - 1, 0, 1}$
$\Rightarrow n (A) = 4$
$∴$ Number of proper subsets $= 2^{n (A)} - 1 = 15$

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Proper and Improper subset

Standard XIII Mathematics

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If A={x:−2≤x<2,x∈Z}, then the number of proper subsets of A is

The correct option is B 15A={−2,−1,0,1} ⇒n(A)=4 ∴ Number of proper subsets =2n(A)−1=15

If $A = {x : - 2 \leq x < 2, x \in Z}$ , then the number of proper subsets of $A$ is

The correct option is B $15$
$A = {- 2, - 1, 0, 1}$
$\Rightarrow n (A) = 4$
$∴$ Number of proper subsets $= 2^{n (A)} - 1 = 15$