How do we write x > −2 in interval form?
Answer and explanation
Correct answer: (−2,∞)
The condition x > −2 represents all real numbers strictly greater than −2. The number −2 itself is not allowed because the inequality is strict, so the left endpoint must use a parenthesis. The solution continues indefinitely to the right, which is shown by ∞; infinity is not an included real endpoint, so it also uses a parenthesis. Hence the interval is (−2,∞).
Frequently asked questions
What is the correct answer to this question?
(−2,∞)
Why is this the correct answer?
The condition x > −2 represents all real numbers strictly greater than −2. The number −2 itself is not allowed because the inequality is strict, so the left endpoint must use a parenthesis. The solution continues indefinitely to the right, which is shown by ∞; infinity is not an included real endpoint, so it also uses a parenthesis. Hence the interval is (−2,∞).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
