Answer:
55
Step-by-step explanation:
Let x represent the middle integer. Then the smallest is x-2 and the largest is x+2. Your requirement is that ...
(x-2)/(x+2) > 2/3
3x -6 > 2x +4 . . . . cross multiply
x > 10 . . . . . . . . . . .add 6-2x
The smallest integer satisfying this requirement is x=11. The sum of the 5 integers is 5x = 55.
The smallest sum is 55.
This is really weird.
-- NONE of the situations matches the equation at the top.
-- And the equation at the top isn't even really any big deal . . .
it's <em>always</em> true, no matter what ' t ' is . If you remove all of
the parentheses and simplify it, it says that 6 = 6. Well duh !
Answer: The answer is x < 12 but i don't see that as an option.
