bearing in mind that an absolute value expression, is in effect a piece-wise expression, so once we remove the bars, we really end up with two siblings, one is negative, the other positive, of the same expression.
![\bf |2x-3|+4=17\implies |2x-3|=13\implies \begin{cases} +(2x-3)=13\\ 2x-3=13\\ 2x=16\\[1em] x=\cfrac{16}{2}\\[1em] \boxed{x=8}\\[-0.5em] \hrulefill\\ -(2x-3)=13\\ -2x+3=13\\ -2x=10\\[1em] x=\cfrac{10}{-2}\\[1em] \boxed{x=-5} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%7C2x-3%7C%2B4%3D17%5Cimplies%20%7C2x-3%7C%3D13%5Cimplies%20%5Cbegin%7Bcases%7D%20%2B%282x-3%29%3D13%5C%5C%202x-3%3D13%5C%5C%202x%3D16%5C%5C%5B1em%5D%20x%3D%5Ccfrac%7B16%7D%7B2%7D%5C%5C%5B1em%5D%20%5Cboxed%7Bx%3D8%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20-%282x-3%29%3D13%5C%5C%20-2x%2B3%3D13%5C%5C%20-2x%3D10%5C%5C%5B1em%5D%20x%3D%5Ccfrac%7B10%7D%7B-2%7D%5C%5C%5B1em%5D%20%5Cboxed%7Bx%3D-5%7D%20%5Cend%7Bcases%7D)
Based on the information I think you should not invest in the project. The chances of losing money or not making any money is much higher then the chances of making money
Slope is 2/3. Y intercept (0,-1) I believe
This equals the the area of white part / area of the entire dartboard
area of the entire board = pi * 6^2 = 36pi
area of white part = 36pi - 2^2*pi = 32pi
do required probability = 32pi / 36pi = 0.889 or 88.9 % (to nearest tenth)
or as a fraction it is 8/9