How is the interval (-5, 2] written as an inequality?
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Answer and explanation
Correct answer: -5 < x ≤ 2
In interval notation, a round parenthesis means that the endpoint is excluded, while a square bracket means that the endpoint is included. Therefore, (-5, 2] contains all real numbers greater than -5 and less than or equal to 2. The correct inequality is -5 < x ≤ 2, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
-5 < x ≤ 2
Why is this the correct answer?
In interval notation, a round parenthesis means that the endpoint is excluded, while a square bracket means that the endpoint is included. Therefore, (-5, 2] contains all real numbers greater than -5 and less than or equal to 2. The correct inequality is -5 < x ≤ 2, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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