Which interval represents x < 2?
Answer and explanation
Correct answer: (-∞, 2), all real numbers less than 2
The inequality x < 2 includes every real number smaller than 2, such as 1, 0, and -5, but it does not include 2 itself. Therefore, the interval is written as (-∞, 2). The round parenthesis at 2 shows that the endpoint is excluded, while infinity always uses a parenthesis because infinity is not an actual real number.
Frequently asked questions
What is the correct answer to this question?
(-∞, 2), all real numbers less than 2
Why is this the correct answer?
The inequality x < 2 includes every real number smaller than 2, such as 1, 0, and -5, but it does not include 2 itself. Therefore, the interval is written as (-∞, 2). The round parenthesis at 2 shows that the endpoint is excluded, while infinity always uses a parenthesis because infinity is not an actual real number.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Determinants. Topic: Area of triangle using determinants.
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