Which interval represents the condition 0 ≤ x < 4?
Answer and explanation
Correct answer: [0,4)
The condition 0 ≤ x means that x may equal 0, so the left endpoint is included and receives a square bracket. The condition x < 4 means that x must be strictly less than 4, so 4 is excluded and receives a parenthesis. Combining these endpoint rules gives the half-open interval [0,4). Both boundaries must be checked separately in a mixed inequality.
Frequently asked questions
What is the correct answer to this question?
[0,4)
Why is this the correct answer?
The condition 0 ≤ x means that x may equal 0, so the left endpoint is included and receives a square bracket. The condition x < 4 means that x must be strictly less than 4, so 4 is excluded and receives a parenthesis. Combining these endpoint rules gives the half-open interval [0,4). Both boundaries must be checked separately in a mixed inequality.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
