求不等式3/2[2/3(1/4y+1)+2]-2>=y的非负整数解

问题描述:

求不等式3/2[2/3(1/4y+1)+2]-2>=y的非负整数解
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3/2[2/3(1/4y+1)+2]-2>=y
3/2[2/3(1/4y+1)+2]>=y+2
3/2*2/3(1/4y+1)+3/2*2>=y+2
(1/4y+1)+3>=y+2
1/4y+1>=y-1
1+1>=y-1/4y
2>=3/4y
8/3>=y
y非负整数解
y=0,1,2