Which option correctly writes the interval [0, 3) in set-builder form?
Answer and explanation
Correct answer: {x : 0 ≤ x < 3}
In the interval [0, 3), the square bracket at 0 means that 0 is included, while the round parenthesis at 3 means that 3 is excluded. Therefore, the equivalent inequality is 0 ≤ x < 3. Option A excludes both endpoints, C excludes 0 and includes 3, and D includes both endpoints, so none of them represents the given interval.
Frequently asked questions
What is the correct answer to this question?
{x : 0 ≤ x < 3}
Why is this the correct answer?
In the interval [0, 3), the square bracket at 0 means that 0 is included, while the round parenthesis at 3 means that 3 is excluded. Therefore, the equivalent inequality is 0 ≤ x < 3. Option A excludes both endpoints, C excludes 0 and includes 3, and D includes both endpoints, so none of them represents the given interval.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: Introduction to inequalities.
