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By using a simple analytic method the following inequalities are proved:(bx+y-ax+y)/(bx-ax)≥[(x+y)/x][(a+b)/2]y,for 0＜a＜b,x≥1,y＞0,x+y≥2;(bx+y-ax+y)/(bx-ax)＜[(x+y)/x][(a+b)/2]y,for0＜a＜b,0＜x＜1,y＞0,x+y≤2.These inequalities are the extensions of inequalities