Question
Which inequality represents the sentence? The sum of negative 3.2 and 1.5 times a number is at most 8.6 (1 point) Responses 3.2+1.5n≤8.6 3 point 2 plus 1 point 5 n is less than or equal to 8 point 6 −3.2+1.5n≤8.6 negative 3 point 2 plus 1 point 5 n is less than or equal to 8 point 6 −3.2n+1.5≥8.6 negative 3 point 2 n plus 1 point 5 is greater than or equal to 8 point 6 −3.2n+1.5≤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 as follows:
- "The sum of negative 3.2 and 1.5 times a number": This can be expressed as \(-3.2 + 1.5n\), where \(n\) is the number.
- "is at most 8.6": This phrase indicates that the expression is less than or equal to 8.6, which is represented by \(\leq\).
Putting these together, the inequality is:
\[
-3.2 + 1.5n \leq 8.6
\]
Therefore, the correct answer is:
\(-3.2 + 1.5n \leq 8.6\)
- "The sum of negative 3.2 and 1.5 times a number": This can be expressed as \(-3.2 + 1.5n\), where \(n\) is the number.
- "is at most 8.6": This phrase indicates that the expression is less than or equal to 8.6, which is represented by \(\leq\).
Putting these together, the inequality is:
\[
-3.2 + 1.5n \leq 8.6
\]
Therefore, the correct answer is:
\(-3.2 + 1.5n \leq 8.6\)