{x-2>0,2(x+1)≥3x-1.
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{x-2>0,2(x+1)≥3x-1.{x-2>0,2(x+1)≥3x-1.{x-2>0,2(x+1)≥3x-1.x-2>0,则x>22(x+1)≥3x-1,则2x+2≥3x-1,则3x-2x≤2+1
{x-2>0,2(x+1)≥3x-1.
{x-2>0,2(x+1)≥3x-1.
{x-2>0,2(x+1)≥3x-1.
x-2>0,则x>2
2(x+1)≥3x-1,则2x+2≥3x-1,则3x-2x≤2+1,则x≤3
所以不等式组解集为2<x≤3.
第一步,x>2
2x+2≥3x-1
第二步,x>2
2+1≥3x-2x
第三步,x>2
3≥x
故,2.<x≤3
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