document.write( "Question 872668: Hello, I have a homework about inequalities:word problems.
\n" ); document.write( "The question states:
\n" ); document.write( "\"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.\"
\n" ); document.write( "The exercise:
\n" ); document.write( "16. The greater of two consecutive even integers is at most 50 less than five times (the smaller).\r
\n" ); document.write( "\n" ); document.write( "Thank you, and please explain to me how it is solved, that would help me a lot. \r
\n" ); document.write( "\n" ); document.write( "{P.S. any help would be greatly appreciated.} \n" ); document.write( "

Algebra.Com's Answer #526325 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"n\"$ = the smaller of those two consecutive integers.
\n" ); document.write( " $\"n%2B1\"$ = the other/greater one of those two consecutive integers.
\n" ); document.write( " $\"5n\"$ = five times the smaller of those two consecutive integers.
\n" ); document.write( " $\"5n-50\"$ = 50 less than five times the smaller of those two consecutive integers.
\n" ); document.write( "\"The greater of two consecutive even integers is at most 50 less than five times the smaller\" translates as
\n" ); document.write( " $\"n%2B1\"$ is at most $\"5n-50\"$ .
\n" ); document.write( "That means that $\"n%2B1\"$ could be equal to or lesser than $\"5n-50\"$ , but not more than $\"5n-50\"$ .
\n" ); document.write( "That, as an inequality, is written as
\n" ); document.write( " $\"highlight%28n%2B1%3C=5n-50%29\"$ . \n" ); document.write( "

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