Question

Помогите пожалуйста!!!!
решите уравнение:
|y+3| - |y-2|=5

Answer 1

$|y+3| - |y-2|=5, \ y+3=0, y=-3, \ y-2=0, y=2, \ left { {{y<-3,} atop {-(y+3)+(y-2)=5;}} right. left { {{y<-3,} atop {-y-3+y-2=5;}} right. left { {{y<-3,} atop {0cdot y=10;}} right. left { {{y<-3,} atop {yinvarnothing;}} right. \ yinvarnothing; \ \ left { {{-3 leq y< 2,} atop {(y+3)+(y-2)=5;}} right. left { {{-3 leq y< 2,} atop {y+3+y-2=5;}} right. left { {{-3 leq y< 2,} atop {2y=4;}} right. left { {{-3 leq y< 2,} atop {y=2;}} right.$
$yinvarnothing; \ \ left { {{y geq 2,} atop {(y+3)-(y-2)=5;}} right. left { {{y geq 2,} atop {y+3-y+2=5;}} right. left { {{y geq 2,} atop {0cdot y=0;}} right. left { {{y geq 2,} atop {yin R;}} right. \ y geq 2, \ yin[2;+infty).$