Taking the set of natural numbers as the universal set,write down the complement of the following set: $\{x: x+5=8\}$
(N/A) Let the universal set $U = N$,where $N$ is the set of natural numbers.
Let $A = \{x: x+5=8\}$.
Solving the equation $x+5=8$,we get $x=3$.
So,$A = \{3\}$.
The complement of set $A$ is denoted by $A^\prime$ or $A^c$.
$A^\prime = U - A = \{x: x \in N \text{ and } x \neq 3\}$.
Let $A = \{x: x+5=8\}$.
Solving the equation $x+5=8$,we get $x=3$.
So,$A = \{3\}$.
The complement of set $A$ is denoted by $A^\prime$ or $A^c$.
$A^\prime = U - A = \{x: x \in N \text{ and } x \neq 3\}$.
Explore More
Similar Questions
The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is
If $A$ and $B$ are two sets,then $A \cap (A \cap B)^c$ is equal to:
Easy
View SolutionIf $U = \{a, b, c, d, e, f, g, h\}$,find the complement of the set $A = \{a, b, c\}$.
Easy
View SolutionIf $A$ and $B$ are two sets,then $A \cap (A \cup B)'$ is equal to
Medium
View SolutionConsider the experiment of rolling a die. Let $A$ be the event 'getting a prime number' and $B$ be the event 'getting an odd number'. Write the set representing the event 'not $A$'.
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo