Given- universal set - x - Z - - 6 - x - 6- N - n - n is a non-negative number and P - x - x is a nonpositive number- Find - P-

The correct option is C #160; {1,2,3,4,5,6} #160;Universal set includes { 5, 4, 3, 2, 1,0,1,2,3,4,5,6} P= { 5. 4. 3, 2, 1,0} .Hence P' only ...

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Standard IX

Mathematics

Complement of a Set

Given, univer...

Question

Given, universal set = { $x ϵ Z$ : $- 6 < x \leq 6$ }, N = { $n$ : $n$ is a non-negative number} and P = { $x$ : $x$ is a nonpositive number}. Find : $P^{'}$

{- 1, - 2, - 3, - 4, - 5, - 6}

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{1, 2, 3, 4, 5, 6}

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{0, 1, 2, 3, 4, 5, 6}

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{0, - 1, - 2, - 3, - 4, - 5, - 6}

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Solution

The correct option is C ${1, 2, 3, 4, 5, 6}$
Universal set includes ${- 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6}$

P= ${- 5. - 4. - 3, - 2, - 1, 0}$ .

Hence P' only has the elements in option B. It does not contain 0.
P'= ${1, 2, 3, 4, 5, 6}$ .

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Similar questions

Given universal set = ${x \in Z : - 6 < x \leq 6}, N = {n : n i s a n o n - n e g a t i v e n u m b e r} a n d P = {x : x i s a n o n - p o s i t i v e n u m b e r} F i n d : (i) N^{‘} (i i) P^{‘}$

Q. Given, universal set =

{x ϵ Z : - 6 < \times \leq 6}

N={n:n is a non-negative number} and
P={x:x is a non-positive number}. Find
(i)N' ,
(ii)P.

Q. Write the degree of the following polynomials.

(1) 64p³ − 10p
(2) 8n² − 25n + 9
(3) x − 11 + 3x⁴
(4) 39m
(5) 81
(6) 2n⁵ − n³ + 6 − 7n²
(7) 9a⁵ − 61
(8)

\frac{5}{11} x - x^{4}

(9) 0

Q. The number of distinct rational numbers

n

such that

0 < n < 1

and

n = \frac{p}{q},

where

p, q \in 1, 2, 3, 4, 5, 6

Q. Given that

n \sum x = 1

(x+1)(2x+3) =

p n^{4} + q n^{3} + r n^{2} + \frac{7}{3} n + s

, then

i) p = \frac{1}{2}, q = \frac{8}{3} i i) p = \frac{1}{3}, q = \frac{1}{4} i i i) r = \frac{9}{2}, s = 0 i v) r = \frac{5}{6}, s = 0

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Given, universal set = {xϵZ : −6<x≤6}, N = {n : n is a non-negative number} and P = {x : x is a nonpositive number}. Find :P′

The correct option is C {1,2,3,4,5,6} Universal set includes {−5,−4,−3,−2,−1,0,1,2,3,4,5,6}P={−5.−4.−3,−2,−1,0}.Hence P' only has the elements in option B. It does not contain 0.P'={1,2,3,4,5,6}.

Given, universal set = { $x ϵ Z$ : $- 6 < x \leq 6$ }, N = { $n$ : $n$ is a non-negative number} and P = { $x$ : $x$ is a nonpositive number}. Find : $P^{'}$

The correct option is C ${1, 2, 3, 4, 5, 6}$
Universal set includes ${- 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3, 4, 5, 6}$

P= ${- 5. - 4. - 3, - 2, - 1, 0}$ .

Hence P' only has the elements in option B. It does not contain 0.
P'= ${1, 2, 3, 4, 5, 6}$ .