Question 872668
{{{n}}}= the smaller of those two consecutive integers.
{{{n+1}}}= 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+1}}} is at most {{{5n-50}}} .
That means that {{{n+1}}} could be equal to or lesser than {{{5n-50}}} , but not more than {{{5n-50}}} .
That, as an inequality, is written as
{{{highlight(n+1<=5n-50)}}} .