If G = {x : x ∈ Z and -1 < x < 4}, which element belongs to G?
Answer and explanation
Correct answer: 0
The governing concept is selecting integers from an open interval. The inequalities are strict: -1 < x and x < 4, so the endpoints -1 and 4 are excluded. The integers satisfying both conditions are 0, 1, 2 and 3. Among the choices, only 0 belongs to this list; 5 is outside the interval. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The governing concept is selecting integers from an open interval. The inequalities are strict: -1 < x and x < 4, so the endpoints -1 and 4 are excluded. The integers satisfying both conditions are 0, 1, 2 and 3. Among the choices, only 0 belongs to this list; 5 is outside the interval. Therefore option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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