Question

Question 1050065: find the greatest integer which is such that if 7 is added to its double the resulting number become greater than three times the integer

Answer 1

Let the required integer be 'x'
Given that:
       2x + 7 > 3x
So,         x < 7

Therfore, the greatest such integer is: 6

Answer 2

Let the integer be x.
Now according to the question
$2x+7\ \textgreater \ 3x$
$7\ \textgreater \ 3x-2x$
$7\ \textgreater \ x$
$x\ \textless \ 7$

that means that the greatest integer is 6

proof

2[6]+7>3[6]
19>18
so equation holds true.

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