(-27.1 + 3n) + (7.1 + 5n) to be negative
(-27.1 + 3n) + (7.1 + 5n) < 0
-27.1 + 3n + 7.1 + 5n < 0
8n - 20 < 0
8n < 20
n < 20/8
n < 5/2
Since we want natural numbers we cant have fractions and since n must be less than 5/2 which is 2,5, we can only have natural numbers below 2,5 which means numbers below 2
n < 2
Answer:
[tex]n < \frac{5}{2} = 2.5[/tex]
Step-by-step explanation:
We are given the following information in the question:
[tex](-27.1+3n)+(7.1+5n)[/tex]
We have to find the value of n such that the sum is negative.
We solve the following inequality.
[tex](-27.1+3n)+(7.1+5n)<0\\(-27.1 + 7.1)+(3n + 5n) < 0\\-20 + 8n < 0\\8n < 20\\\\n < \displaystyle\frac{20}{8}\\\\n < \frac{5}{2} = 2.5[/tex]
Thus, n should be less than 2.5 so that the sum is negative.
