If \(A=\{x:x\in\mathbb{Z},\;-3<x\le 2\}\), which of the following sets is equal to \(A\)?
Answer and explanation
Correct answer: \(\{-2,-1,0,1,2\}\)
The notation says that \(x\) must be an integer greater than \(-3\) and less than or equal to \(2\). The integers greater than \(-3\) begin with \(-2\), and the upper endpoint \(2\) is included because of the symbol \(\le\). Thus the complete list is \(\{-2,-1,0,1,2\}\), which is option A. Option B incorrectly includes \(-3\); option C omits \(2\); and option D includes \(-3\) while omitting \(2\).
Frequently asked questions
What is the correct answer to this question?
\(\{-2,-1,0,1,2\}\)
Why is this the correct answer?
The notation says that \(x\) must be an integer greater than \(-3\) and less than or equal to \(2\). The integers greater than \(-3\) begin with \(-2\), and the upper endpoint \(2\) is included because of the symbol \(\le\). Thus the complete list is \(\{-2,-1,0,1,2\}\), which is option A. Option B incorrectly includes \(-3\); option C omits \(2\); and option D includes \(-3\) while omitting \(2\).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
