If A = {x ∈ ℝ : |x| < 0}, what is A?
Answer and explanation
Correct answer: ∅
For every real number x, the absolute value |x| is always greater than or equal to zero. Therefore, the inequality |x| < 0 has no real solution. A set defined by a condition with no satisfying elements is the empty set, denoted by ∅. Notice that |0| = 0, which is not less than zero, so even 0 is excluded.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
For every real number x, the absolute value |x| is always greater than or equal to zero. Therefore, the inequality |x| < 0 has no real solution. A set defined by a condition with no satisfying elements is the empty set, denoted by ∅. Notice that |0| = 0, which is not less than zero, so even 0 is excluded.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
