Write the sentence as an inequality.

Question

A number
x
x is at least -3 and at most 9

describe the answer in words and how we would write it out

Answer 1

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.