The triangle inequality applies.
In order for ACD to be a triangle, the length of AC must lie between CD-DA=0 and CD+DA=8.
In order for ABD to be a triangle, the length of AC must lie between BC-AB=3 and BC+AB=9.
The values common to both these restrictions are numbers between 3 and 8. Assuming we don't want the diagonal to be coincident with any sides, its integer length will be one of ...
{4, 5, 6, 7}
52/8= what comes closest to 52, well 6x8=48, 7x8=56, we use 48, 52-48=4
the quotient is 6
and the remainder is 4
Answer:
5< 10x -3
add like terms first
make sure X's are on one side and numbers on the other
