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-5}} \right." alt="\left \{ {{\frac{x-1}{2} +\frac{x+1}{3}\geq 7 \atop {-4x+7>-5}} \right." align="absmiddle" class="latex-formula">

${{\frac{x-1}{2} +\frac{x+1}{3}\geq 7$ I*6 -5" alt="-4x+7>-5" align="absmiddle" class="latex-formula">

${{\frac{6*(x-1)}{2} +\frac{6*(x+1)}{3}\geq 7*6$ -5-7" alt="-4x>-5-7" align="absmiddle" class="latex-formula">

${{\frac{3*(x-1)}{1} +\frac{2*(x+1)}{1}\geq 42$ -12" alt="-4x>-12" align="absmiddle" class="latex-formula">

$3*(x-1)+2*(x+1)\geq 42$ -12:(-5)" alt="x>-12:(-5)" align="absmiddle" class="latex-formula">

$3x-3+2x+2\geq 42$ $x<3$

$3x+2x\geq 42+3-2$

$5x\geq 43$

$x\geq 43:5$

$x\geq 8.6$

x ∈ (-∞;3)∪[8.6;+∞)