Question
Identify the integers in the interval \( [1,7 \)
Ask by Stuart Lynch. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The integers in the interval \([1, 7)\) are 1, 2, 3, 4, 5, and 6.
Solution
The interval notation \([1, 7)\) represents all real numbers \(x\) such that:
\[
1 \leq x < 7
\]
This means that \(x\) can be any number starting from 1 up to, but not including, 7.
**Integers within this interval are:**
\[
1, \ 2, \ 3, \ 4, \ 5, \ 6
\]
So, the integers in the interval \([1, 7)\) are **1, 2, 3, 4, 5, and 6**.
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Simplify this solution Bonus Knowledge
In the interval \([1, 7)\), the integers are the whole numbers that are equal to or greater than 1 and less than 7. So, the integers present are 1, 2, 3, 4, 5, and 6. That's a total of 6 fun-loving numbers ready to be counted! Imagine having a small gathering of numbers at a party — 1, 2, 3, 4, 5, and 6 are all mingling together happily before reaching 7, who sadly can't join because they're just a tad too late for the fun!
