What is the correct interval notation for x < 5?
Answer and explanation
Correct answer: (-∞, 5)
The inequality x < 5 describes all real numbers that are smaller than 5. The endpoint 5 is excluded because the inequality is strict, so a parenthesis is used at 5. The values extend indefinitely to the left, toward negative infinity. Infinity is never included, so a parenthesis is used there as well. Thus, the correct interval is (-∞, 5).
Frequently asked questions
What is the correct answer to this question?
(-∞, 5)
Why is this the correct answer?
The inequality x < 5 describes all real numbers that are smaller than 5. The endpoint 5 is excluded because the inequality is strict, so a parenthesis is used at 5. The values extend indefinitely to the left, toward negative infinity. Infinity is never included, so a parenthesis is used there as well. Thus, the correct interval is (-∞, 5).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: representation on number line.
