If T = {x : x ∈ Z, x is greater than 5 and less than 11}, how will T be written in roster form?
Answer and explanation
Correct answer: T = {6, 7, 8, 9, 10}
The conditions translate to the strict double inequality 5 < x < 11, with x restricted to the integers. Since the inequalities are strict, neither endpoint 5 nor endpoint 11 belongs to the set. The integers strictly between them are 6, 7, 8, 9, and 10. Therefore, the roster form is T = {6, 7, 8, 9, 10}; this is a finite set of five integers.
Frequently asked questions
What is the correct answer to this question?
T = {6, 7, 8, 9, 10}
Why is this the correct answer?
The conditions translate to the strict double inequality 5 < x < 11, with x restricted to the integers. Since the inequalities are strict, neither endpoint 5 nor endpoint 11 belongs to the set. The integers strictly between them are 6, 7, 8, 9, and 10. Therefore, the roster form is T = {6, 7, 8, 9, 10}; this is a finite set of five integers.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
