解不等式组5x-1>3(x+1) 1/2x-1≤7-3/2x

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解不等式组5x-1>3(x+1) 1/2x-1≤7-3/2x
解不等式组5x-1>3(x+1) 1/2x-1≤7-3/2x

解不等式组5x-1>3(x+1) 1/2x-1≤7-3/2x
5x-1>3(x+1)
5x-1>3x+3
2x>4
x>2
x/2-1≤7-3x/2
x/2+3x/2≤7+1
2x≤8
x≤4
所以解集为:
2<x≤4

5x-1>3(x+1) 1/2x-1≤7-3/2x
5x-1>3x+3 x-2≤14-3x
5x-3x>3+1 x+3x≤14+2
2x>4 4x≤16
x>2 x≤4
∴不等式组5x-1>3(x+1) 1/2x-1≤7-3/2x的解集为:2