Write the inequality x ≤ 5 in interval notation.
Answer and explanation
Correct answer: (-∞, 5]
The inequality x ≤ 5 includes 5 and every real number less than 5. Because equality is permitted, the endpoint 5 belongs to the solution set and is written with a square bracket. The interval continues indefinitely toward negative infinity, and infinity always uses a parenthesis. Therefore, the correct interval notation is (-∞, 5].
Frequently asked questions
What is the correct answer to this question?
(-∞, 5]
Why is this the correct answer?
The inequality x ≤ 5 includes 5 and every real number less than 5. Because equality is permitted, the endpoint 5 belongs to the solution set and is written with a square bracket. The interval continues indefinitely toward negative infinity, and infinity always uses a parenthesis. Therefore, the correct interval notation is (-∞, 5].
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
