The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?
First let's get or define our variables. We can call the first variable
"Nine times the smaller" can be written as
"is at most" means we have an inequality and specifically a
So, to write the inequality for the entire problem we have:
Expanding the terms in parenthesis and then grouping like terms on each side of the inequality gives:
Next we solve for
To "flip" the inequality so the