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2.![\frac{1}{|x+4|}\leq\frac{1}{|x-2|}\\ |x-2|\leq|x+4|\\I\ x\in(-\infty,-4)\\-x+2\leq-x-4\\2\leq-4\\ sprzeczność\\IIx\in[-4,2)\\-x+2\leq x+4\\-2x\leq 2\\x\geq-1\\x\in[-4,-1]\\II\ Ix\in [2,\infty)\\x-2\leqx+4\\-2\leq 4\\x\in[2,\infty)\\odp. \ x\in[-4,-1]u[2,\infty) \frac{1}{|x+4|}\leq\frac{1}{|x-2|}\\ |x-2|\leq|x+4|\\I\ x\in(-\infty,-4)\\-x+2\leq-x-4\\2\leq-4\\ sprzeczność\\IIx\in[-4,2)\\-x+2\leq x+4\\-2x\leq 2\\x\geq-1\\x\in[-4,-1]\\II\ Ix\in [2,\infty)\\x-2\leqx+4\\-2\leq 4\\x\in[2,\infty)\\odp. \ x\in[-4,-1]u[2,\infty)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%7Cx%2B4%7C%7D%5Cleq%5Cfrac%7B1%7D%7B%7Cx-2%7C%7D%5C%5C+%7Cx-2%7C%5Cleq%7Cx%2B4%7C%5C%5CI%5C+x%5Cin%28-%5Cinfty%2C-4%29%5C%5C-x%2B2%5Cleq-x-4%5C%5C2%5Cleq-4%5C%5C+sprzeczno%C5%9B%C4%87%5C%5CIIx%5Cin%5B-4%2C2%29%5C%5C-x%2B2%5Cleq+x%2B4%5C%5C-2x%5Cleq+2%5C%5Cx%5Cgeq-1%5C%5Cx%5Cin%5B-4%2C-1%5D%5C%5CII%5C+Ix%5Cin+%5B2%2C%5Cinfty%29%5C%5Cx-2%5Cleqx%2B4%5C%5C-2%5Cleq+4%5C%5Cx%5Cin%5B2%2C%5Cinfty%29%5C%5Codp.+%5C+x%5Cin%5B-4%2C-1%5Du%5B2%2C%5Cinfty%29)