Answer: He got to be elected president of the Republic of Texas.
x^2 - 7x + 15
_________________
(x+4)/ x^3 - 3x^2 - 13x + 78
- x^3 + 4x^2
----------------
- 7x^2 - 13x
- - 7x^2 - 28x
------------------
15x + 78
- 15x + 60
-------------
18
remainder = 18
Isolate "x" onto one side:
5/3 * (6x+3) < 2x - 7
5(6x+3) < 3(2x-7)
30x + 15 < 6x - 21
24x < -36
x < -1.5
The last two options are correct, but it looks like you’ve got them :)
Hope this helps and have an amazing day!!!