What is the interval form of x ≤ 3?
Answer and explanation
Correct answer: (−∞,3]
The inequality x ≤ 3 includes every real number less than 3 as well as 3 itself. The interval extends without bound to the left, represented by −∞, and ends at 3. Since 3 is included because of the symbol ≤, a square bracket is used at 3. Infinity is never included as an endpoint, so a parenthesis is used at −∞. Therefore, the interval is (−∞,3].
Frequently asked questions
What is the correct answer to this question?
(−∞,3]
Why is this the correct answer?
The inequality x ≤ 3 includes every real number less than 3 as well as 3 itself. The interval extends without bound to the left, represented by −∞, and ends at 3. Since 3 is included because of the symbol ≤, a square bracket is used at 3. Infinity is never included as an endpoint, so a parenthesis is used at −∞. Therefore, the interval is (−∞,3].
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
