Q. The roster form of a set T = {x: x is an integers greater than -2 and less than 4) is
Question
Q. The roster form of a set T = {x: x is an integers greater than -2 and less than 4) is
Solution
To express the set T in roster form, we need to identify all the integers that satisfy the condition given in the set description: "x is an integer greater than -2 and less than 4."
Break Down the Problem
- Identify the integers greater than -2.
- Identify the integers less than 4.
- Combine the two conditions to form the set.
Relevant Concepts
- The integers greater than -2 are those that are -1, 0, 1, 2, 3, etc.
- The integers less than 4 are 3, 2, 1, 0, -1, etc.
- We need to find the overlap of these two sets based on the given conditions.
Analysis and Detail
The integers greater than -2 are:
- -1, 0, 1, 2, 3
The integers less than 4 are:
- 3, 2, 1, 0, -1
Now, we combine both conditions. The set T will include all integers that are both greater than -2 and less than 4.
The resulting set T in roster form is:
Verify and Summarize
We've carefully analyzed the integers based on the conditions, and the final roster form of set T has been verified.
Final Answer
The roster form of the set is .
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