Which is the correct set-builder form of the interval [1, 6)?
Answer and explanation
Correct answer: {x ∈ ℝ : 1 ≤ x < 6}
The left square bracket in [1, 6) means that 1 is included, so the left condition is 1 ≤ x. The right round parenthesis means that 6 is excluded, so the right condition is x < 6. Combining both conditions gives {x ∈ ℝ : 1 ≤ x < 6}. The variable is restricted to real numbers because interval notation describes real values.
Frequently asked questions
What is the correct answer to this question?
{x ∈ ℝ : 1 ≤ x < 6}
Why is this the correct answer?
The left square bracket in [1, 6) means that 1 is included, so the left condition is 1 ≤ x. The right round parenthesis means that 6 is excluded, so the right condition is x < 6. Combining both conditions gives {x ∈ ℝ : 1 ≤ x < 6}. The variable is restricted to real numbers because interval notation describes real values.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
