List all the elements of the following set:
$B = \{ x : x \text{ is an integer}; -\frac{1}{2} < x < \frac{9}{2} \}$
$B = \{ x : x \text{ is an integer}; -\frac{1}{2} < x < \frac{9}{2} \}$
(N/A) The set is given by $B = \{ x : x \text{ is an integer}, -\frac{1}{2} < x < \frac{9}{2} \}$.
We know that $-\frac{1}{2} = -0.5$ and $\frac{9}{2} = 4.5$.
The integers $x$ such that $-0.5 < x < 4.5$ are $0, 1, 2, 3, 4$.
Therefore,$B = \{0, 1, 2, 3, 4\}$.
We know that $-\frac{1}{2} = -0.5$ and $\frac{9}{2} = 4.5$.
The integers $x$ such that $-0.5 < x < 4.5$ are $0, 1, 2, 3, 4$.
Therefore,$B = \{0, 1, 2, 3, 4\}$.
Explore More
Similar Questions
Are the following pair of sets equal? Give reasons.
$A = \{ 2, 3 \}, \quad B = \{ x : x \text{ is a solution of } x^2 + 5x + 6 = 0 \}$
$A = \{ 2, 3 \}, \quad B = \{ x : x \text{ is a solution of } x^2 + 5x + 6 = 0 \}$
Easy
View SolutionWhich of the following is a set? Justify your answer.
$A$ team of eleven best cricket batsmen of the world.
$A$ team of eleven best cricket batsmen of the world.
Easy
View SolutionIn each of the following,determine whether the statement is true or false. If it is true,prove it. If it is false,give a counterexample.
If $x \in A$ and $A \not\subset B$,then $x \in B$
If $x \in A$ and $A \not\subset B$,then $x \in B$
Easy
View SolutionLet $A = \{1, 2, \{3, 4\}, 5\}$. Is the statement $\{3, 4\} \in A$ correct or incorrect? Explain.
Easy
View SolutionTwo finite sets have $m$ and $n$ elements respectively. The total number of subsets of the first set is $56$ more than the total number of subsets of the second set. The values of $m$ and $n$,respectively are
Vedclass 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