hogging or sagging

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.9P: A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure)....
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Can tutor provide more clear explanation like why the M=100x4-80x3=160kN  (why is minus) and also where the bending movement is occur like hogging or sagging 

the bending moment diagram

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