Question

five more than the product of a number n and 8 is at least 100. Write an inequality that can be used to find all positive values of n

Answer 1

"More than" indicates addition, and "product" indicates multiplication.

The inequality is:

5 + 8n >= 100

Now we can solve for all positive values of n:

5 + (-5) + 8n >= 100 + (-5)

8n >= 95

8n/(8) >= 95/(8)

n >= 11.875

So all positive values of n include everything between 11.875 and positive infinity, inclusively.