Question

For what values of n is the sum (−27.1+3n)+(7.1+5n) negative?

Answer 1

To find the values of n for which the sum (-27.1 + 3n) + (7.1 + 5n) is negative, solve the inequality -20 + 8n < 0 and derive n < 2.5. Therefore, for values of n less than 2.5, the sum is negative.

Step-by-step explanation:

To find the values of n for which the sum (-27.1 + 3n) + (7.1 + 5n) is negative, we need to solve the inequality (-27.1 + 3n) + (7.1 + 5n) < 0.

Step 1: Combine like terms and simplify the expression: -20 + 8n < 0.

Step 2: Solve the inequality: 8n < 20.

Step 3: Divide both sides of the inequality by 8 to solve for n: n < 2.5.

Therefore, for values of n less than 2.5, the sum (-27.1 + 3n) + (7.1 + 5n) is negative.

Answer 2

Answer:2

Step-by-step explanation:

Solve for n

Group like terms

3n+5n-27.1+7.1

8n-20=0

8n=20

n=20/8

n=5/2

For the sum to be negative n has to be greater than 5/2

And 2 is the solution