Make correct statements by filling in the symbols $\subset$ or $\not\subset$ in the blank spaces:
${ x:x \text{ is an even natural number} } \dots { x:x \text{ is an integer} }$
${ x:x \text{ is an even natural number} } \dots { x:x \text{ is an integer} }$
(A) Since every even natural number (e.g.,$2, 4, 6, \dots$) is also an integer,the set of even natural numbers is a subset of the set of integers.
Therefore,${ x:x \text{ is an even natural number} } \subset { x:x \text{ is an integer} }$.
Therefore,${ x:x \text{ is an even natural number} } \subset { x:x \text{ is an integer} }$.
Explore More
Similar Questions
Let $S = \{1, 2, 3, \ldots, n\}$ and $A = \{(a, b) \mid 1 \leq a, b \leq n\} = S \times S$. $A$ subset $B$ of $A$ is said to be a good subset if $(x, x) \in B$ for every $x \in S$. Then,the number of good subsets of $A$ is
If $A = \{ x : x \text{ is a natural number} \}$,$B = \{ x : x \text{ is an even natural number} \}$,$C = \{ x : x \text{ is an odd natural number} \}$,and $D = \{ x : x \text{ is a prime number} \}$,find $A \cap D$.
Easy
View SolutionIf $A = \{2, 3, 4, 5, 6\}$,then which of the following statements has a truth value of 'false'?
Let $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
$1 \subset A$
$1 \subset A$
Easy
View SolutionIf $X = \{a, b, c, d\}$ and $Y = \{f, b, d, g\},$ find $X - Y$.
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