不等式x/2−3/x +1≤1/2 的解集为(负无穷,-3]∪【0,2】
答:x/2-3/(x+1)<=1/2x-6/(x+1)<=1(x^2+x-6)/(x+1)<=11)x+1<0即x<-1时:x^2+x-6>=x+1x^2>=7解得:x<=-√72)x+1>0即x>-1时:x^2+x-6<=x+1x^2<=7-1综上所述,x<=-√7或者-1
x/2 -3/x + 1≤1/2x/2 -3/x + 1/2≤0(x^2+x-6)/x≤0(x+3)(x-2)/x≤00