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1/![\frac{1}{|4x-8|}>-3\\ 1>-3|4x-8|\\ -\frac{1}{3}<|4(x-2)|\\ -\frac{1}{12}<|x-2|\\ -\frac{1}{12}x-2\\ x>2-\frac{1}{12} \ \ i \ \ x<2+1/12\\ x>\frac{23}{12}\ \ i \ \ x<\frac{25}{12}\\ x\in(\frac{23}{12},\frac{25}{12}) \frac{1}{|4x-8|}>-3\\ 1>-3|4x-8|\\ -\frac{1}{3}<|4(x-2)|\\ -\frac{1}{12}<|x-2|\\ -\frac{1}{12}x-2\\ x>2-\frac{1}{12} \ \ i \ \ x<2+1/12\\ x>\frac{23}{12}\ \ i \ \ x<\frac{25}{12}\\ x\in(\frac{23}{12},\frac{25}{12})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%7C4x-8%7C%7D%3E-3%5C%5C+1%3E-3%7C4x-8%7C%5C%5C+-%5Cfrac%7B1%7D%7B3%7D%3C%7C4%28x-2%29%7C%5C%5C+-%5Cfrac%7B1%7D%7B12%7D%3C%7Cx-2%7C%5C%5C+-%5Cfrac%7B1%7D%7B12%7Dx-2%5C%5C+x%3E2-%5Cfrac%7B1%7D%7B12%7D+%5C+%5C+i+%5C+%5C+x%3C2%2B1%2F12%5C%5C+x%3E%5Cfrac%7B23%7D%7B12%7D%5C+%5C+i+%5C+%5C+x%3C%5Cfrac%7B25%7D%7B12%7D%5C%5C+x%5Cin%28%5Cfrac%7B23%7D%7B12%7D%2C%5Cfrac%7B25%7D%7B12%7D%29)
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)