择天记吴曼思:不等式的问题

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求不等式(x-3)/5-(x-1)/2≤1的负整数解

(x-3)/5-(x-1)/2≤1
2(x-3)-5(x-1)<=10
-3x<=11
x>=-11/3
负整数解是x=-3,-2,-1.

左右两边同乘以10:

2X-6-5X+5≤10

-3X≤11

所以负整数解为:

X=-3,-2,-1

(x-3)/5-(x-1)/2≤1
2(x-3)-5(x-1)<=10
-3x<=11
x>=-11/3
x>-3.6
负整数解是x=-3,-2,-1.

解:
2(X-3)-5(X-1)≤10
X≥-11/3
X=-3,-2,-1