SOLUTION: Hello, I have a homework about inequalities:word problems. The question states: "For each of the following, a) choose a variable to represent the number indicated in parentheses.

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Question 872668: Hello, I have a homework about inequalities:word problems.
The question states:
"For each of the following, a) choose a variable to represent the number indicated in parentheses. b) use the variable to write an inequality based on the given information, do not solve."
The exercise:
16. The greater of two consecutive even integers is at most 50 less than five times (the smaller).
Thank you, and please explain to me how it is solved, that would help me a lot.
{P.S. any help would be greatly appreciated.}
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
n= the smaller of those two consecutive integers.
n%2B1= the other/greater one of those two consecutive integers.
5n= five times the smaller of those two consecutive integers.
5n-50= 50 less than five times the smaller of those two consecutive integers.
"The greater of two consecutive even integers is at most 50 less than five times the smaller" translates as
n%2B1 is at most 5n-50 .
That means that n%2B1 could be equal to or lesser than 5n-50 , but not more than 5n-50 .
That, as an inequality, is written as
highlight%28n%2B1%3C=5n-50%29 .