已知x<0,xy<0.化简| x-y-1 | + | y-x+3 |
问题描述:
已知x<0,xy<0.化简| x-y-1 | + | y-x+3 |
答
∵XY<0
∴X,Y异号
∵X<0
∴Y>0
∴X-Y-1<0,Y-X+3>0
∴|X-Y-1|+|Y-X+3|
=-(X-Y-1)+(Y-X+3)
=-X+Y+1+Y-X+3
=2Y-2X+4