Question
The product of -2 and a number is at most 10.
Find the possible numbers.
n < -5
n ≤ -5
n ≥ -5
n > -5
Find the possible numbers.
n < -5
n ≤ -5
n ≥ -5
n > -5
Answers
GPT-4o mini
Let's denote the unknown number as \( n \).
The statement "The product of -2 and a number is at most 10" can be expressed mathematically as:
\[
-2n \leq 10
\]
To solve for \( n \), we can divide both sides by -2, but we must remember that when dividing an inequality by a negative number, we reverse the inequality sign:
\[
n \geq -5
\]
Thus, the answer is:
**n ≥ -5**
This means that the possible numbers \( n \) can be any value that is greater than or equal to -5.
The statement "The product of -2 and a number is at most 10" can be expressed mathematically as:
\[
-2n \leq 10
\]
To solve for \( n \), we can divide both sides by -2, but we must remember that when dividing an inequality by a negative number, we reverse the inequality sign:
\[
n \geq -5
\]
Thus, the answer is:
**n ≥ -5**
This means that the possible numbers \( n \) can be any value that is greater than or equal to -5.