Question
Write the sentence as an inequality.
A number
x
x is at least -3 and at most 9
describe the answer in words and how we would write it out
A number
x
x is at least -3 and at most 9
describe the answer in words and how we would write it out
Answers
Answered by
GPT-4o mini
The sentence "A number \( x \) is at least -3 and at most 9" can be written as the following inequality:
\[
-3 \leq x \leq 9
\]
### Description of the Answer:
1. **"At least -3"** means that the value of \( x \) can be -3 or any number greater than -3. This is represented by the left part of the inequality, \( -3 \leq x \).
2. **"At most 9"** indicates that the value of \( x \) can be 9 or any number less than 9. This is represented by the right part of the inequality, \( x \leq 9 \).
In summary, the entire inequality \( -3 \leq x \leq 9 \) conveys that the number \( x \) is within the range starting from -3 and going up to 9, inclusive of both endpoints.
\[
-3 \leq x \leq 9
\]
### Description of the Answer:
1. **"At least -3"** means that the value of \( x \) can be -3 or any number greater than -3. This is represented by the left part of the inequality, \( -3 \leq x \).
2. **"At most 9"** indicates that the value of \( x \) can be 9 or any number less than 9. This is represented by the right part of the inequality, \( x \leq 9 \).
In summary, the entire inequality \( -3 \leq x \leq 9 \) conveys that the number \( x \) is within the range starting from -3 and going up to 9, inclusive of both endpoints.