解不等式组:x+1/2-2x-1/10>4X+3 2X+1/3-1大于等于x-1/2
问题描述:
解不等式组:x+1/2-2x-1/10>4X+3 2X+1/3-1大于等于x-1/2
答
原式=[1/(x+1)]-[(x+3)/(x²-1)]×[(x²-2x+1)/(x²+4x+3)]
=[1/(x+1)]-{ (x+3)/[(x+1)(x-1)] }×{ (x-1)²/[(x+1)(x+3)] }
=[1/(x+1)]-[(x-1)/(x+1)²]
=[(x+1)/(x+1)²]-[(x-1)/(x+1)²]
=[(x+1)-(x-1)]/(x+1)²
=(x+1-x+1)/(x+1)²
=2/(x+1)²