If G={x∈Z: -2≤x<5}, which element is not in G?
Answer and explanation
Correct answer: 5
The governing concept is reading inclusive and exclusive inequality boundaries. The condition -2≤x includes -2 and all larger integers, while x<5 includes integers only up to 4. Thus G contains -2,-1,0,1,2,3,4. Among the choices, 5 fails the strict upper bound, so option D is correct. The values -2, 0, and 4 all satisfy both inequalities.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
The governing concept is reading inclusive and exclusive inequality boundaries. The condition -2≤x includes -2 and all larger integers, while x<5 includes integers only up to 4. Thus G contains -2,-1,0,1,2,3,4. Among the choices, 5 fails the strict upper bound, so option D is correct. The values -2, 0, and 4 all satisfy both inequalities.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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