If A = {x ∈ R : |x| < 2}, what is the correct interval form of A?
Answer and explanation
Correct answer: (-2, 2)
For a positive number 2, the inequality |x| < 2 means that the distance of x from zero is less than 2. Equivalently, -2 < x < 2. Both inequalities are strict, so neither -2 nor 2 is included; this requires round brackets at both ends. Therefore the correct interval notation is (-2, 2), not the outside region or a one-sided interval.
Frequently asked questions
What is the correct answer to this question?
(-2, 2)
Why is this the correct answer?
For a positive number 2, the inequality |x| < 2 means that the distance of x from zero is less than 2. Equivalently, -2 < x < 2. Both inequalities are strict, so neither -2 nor 2 is included; this requires round brackets at both ends. Therefore the correct interval notation is (-2, 2), not the outside region or a one-sided interval.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
