What is the interval notation for non-positive real numbers?
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Answer and explanation
Correct answer: (-∞, 0]
A non-positive real number is less than or equal to zero. Thus the set contains every negative real number as well as zero. The interval extends indefinitely to the left, so it begins at negative infinity, and the square bracket at 0 shows that zero is included. Hence the correct notation is (-∞, 0].
Frequently asked questions
What is the correct answer to this question?
(-∞, 0]
Why is this the correct answer?
A non-positive real number is less than or equal to zero. Thus the set contains every negative real number as well as zero. The interval extends indefinitely to the left, so it begins at negative infinity, and the square bracket at 0 shows that zero is included. Hence the correct notation is (-∞, 0].
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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