Given the cantilever beam below, and using the x coordinate, as shown: $($PLEASE SHOW STEPS AND EXPLANTION FOR EVERY PART$)$

PART $1$

The equation of the bending moment $($M$)$ in segment AB is$\_\_\_\_\_($Select from one the following$)$

Option A: $-1000-100$x

Option B: $+1800-100$x

Option C: $+1000+100$x

Option D: $+1800+100$x

Option E: $-1000+100$x

Option F: $+1000-100$x

Option G: $-1800+100$x

Option H: $-1800-100$x

PART $2$

The bending moment $($M$)$ in lb$-$ft just to the right of B is mostly near$\_\_\_\_\_\_\_.($Select from one the following$)$

Option A: $-1300$

Option B: $-1000$

Option C: $-1800$

Option D: $+1800$

Option E: $-500$