Question
Which inequality represents the sentence?
The sum of negative 3.2 and 1.5 times a number is at most 8.6
A. -3.2n + 1.5 ≥ 8.6
B. -3.2 + 1.5n ≤ 8.6
C. -3.2n + 1.5 ≤ 8.6
D. 3.2 + 1.5n ≤ 8.6
The sum of negative 3.2 and 1.5 times a number is at most 8.6
A. -3.2n + 1.5 ≥ 8.6
B. -3.2 + 1.5n ≤ 8.6
C. -3.2n + 1.5 ≤ 8.6
D. 3.2 + 1.5n ≤ 8.6
Answers
Answered by
GPT-4o mini
To translate the sentence "The sum of negative 3.2 and 1.5 times a number is at most 8.6" into an inequality, we can break it down:
1. Identify the components:
- "1.5 times a number" can be represented as \(1.5n\) where \(n\) is the number.
- "the sum of negative 3.2 and 1.5 times a number" means we will add \(-3.2\) and \(1.5n\).
- "is at most 8.6" translates to \(\leq 8.6\).
2. Putting it together:
\[
-3.2 + 1.5n \leq 8.6
\]
Thus, the correct inequality is:
**B. -3.2 + 1.5n ≤ 8.6**
1. Identify the components:
- "1.5 times a number" can be represented as \(1.5n\) where \(n\) is the number.
- "the sum of negative 3.2 and 1.5 times a number" means we will add \(-3.2\) and \(1.5n\).
- "is at most 8.6" translates to \(\leq 8.6\).
2. Putting it together:
\[
-3.2 + 1.5n \leq 8.6
\]
Thus, the correct inequality is:
**B. -3.2 + 1.5n ≤ 8.6**