Chciałbym prosić o rozwiązanie [latex] frac{7}{9} + frac{x}{2} > frac{3}{2} - frac{x}{18} [/latex] [latex] frac{x}{3} - frac{5}{6} < frac{1}{12} - frac{x}{2} [/latex] [latex] 0,7x-3+1,1x geq - 2,1x+0,6 [/latex]

[latex] frac{7}{9}+ frac{x}{2} > frac{3}{2}- frac{x}{18} \ 14+9x>27-x \ 10x>13 \ x> 1 frac{3}{10} [/latex] x∈(-1[latex] frac{3}{10} [/latex],+∞) [latex] frac{x}{3}- frac{5}{6}

[latex] frac{7}{9}+ frac{x}{2}> frac{3}{2}- frac{x}{18} [/latex] [latex] frac{7}{9}- frac{3}{2}> frac{-x}{18} - frac{x}{2} [/latex] [latex] frac{14}{18} - frac{27}{18} > -frac{x}{18} - frac{9x}{18} [/latex] [latex]- frac{13}{18} > -frac{10x}{18} |*18[/latex] [latex]-13>-10x[/latex] [latex]x< frac{13}{10} [/latex] [latex] frac{x}{3} - frac{5}{6} < frac{1}{12} - frac{x}{2} [/latex] [latex] frac{x}{3} + frac{x}{2} < frac{1}{12} + frac{5}{6} [/latex] [latex] frac{5x}{6}< frac{11}{12}|*6[/latex] [latex]5x< frac{11}{6} |:5[/latex] [latex]x< frac{11}{30} [/latex] [latex]0,7x-3+1,1x geq -2,1x+0,6[/latex] [latex]0,7x+1,1x +2,1xgeq 0,6+3[/latex] [latex]3,9x geq 3,6|:3,9[/latex] [latex]x geq frac{3,6}{3,9} [/latex] [latex]x geq frac{ frac{36}{10} }{ frac{39}{10} } [/latex] [latex]x geq frac{36}{10} * frac{10}{39} [/latex] [latex]x geq frac{360}{390} [/latex] [latex]x geq frac{12}{13} [/latex]