Which statement is correct from the inclusion chain ℕ ⊆ ℤ ⊆ ℚ ⊆ ℝ?
Answer and explanation
Correct answer: Every integer is a real number
The symbol ⊆ means that every element of the set on the left belongs to the set on the right. Since ℤ ⊆ ℚ and ℚ ⊆ ℝ, every integer is rational and every rational number is real. Therefore every integer is certainly a real number. The reverse statements are not generally true.
Frequently asked questions
What is the correct answer to this question?
Every integer is a real number
Why is this the correct answer?
The symbol ⊆ means that every element of the set on the left belongs to the set on the right. Since ℤ ⊆ ℚ and ℚ ⊆ ℝ, every integer is rational and every rational number is real. Therefore every integer is certainly a real number. The reverse statements are not generally true.
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.
