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≤8.6negative 3 point 2 plus 1 point 5 n is less than or equal to 8 point 6−3.2n+1.5≥8.6negative 3 point 2 n plus 1 point 5 is greater than or equal to 8 point 6−3.2n+1.5≤8.6negative 3 point 2 n plus 1 point 5 is less than or equal to 8 point 63.2+1.5n≤8.6

Answer 1

To write the inequality based on the sentence "The sum of negative 3.2 and 1.5 times a number is at most 8.6", we can break it down as follows:

1. The "sum of negative 3.2 and 1.5 times a number" can be expressed as: \(-3.2 + 1.5n\)

2. "is at most 8.6" translates to: \(\leq 8.6\)

Combining these parts, we get the inequality: \[ -3.2 + 1.5n \leq 8.6 \]

So, the correct response is: \(-3.2 + 1.5n \leq 8.6\)