\frac{x+1}2-\frac{x-3}4\;\;\;\times{12}\\4\cdot(4x+1)-12x>6\cdot(x+1)-3\cdot(x-3)\\16x+4-12x>6x+6-3x+9\\4x+4>3x+15\\4x-3x>15-3\\x>12" alt="1)\;\frac{7x+2}6-x\leq\frac{5x+4}3-4x\;\;\;\times6\\7x+2-6x\leq2\cdot(5x+4)-24x\\x+2\leq10x+8-24x\\x+2\leq8-14x\\x+14x\leq8-2\\15x\leq6\\x\leq\frac6{15}\\x\leq\frac25\\\\2)\;\frac{4x+1}3-x>\frac{x+1}2-\frac{x-3}4\;\;\;\times{12}\\4\cdot(4x+1)-12x>6\cdot(x+1)-3\cdot(x-3)\\16x+4-12x>6x+6-3x+9\\4x+4>3x+15\\4x-3x>15-3\\x>12" align="absmiddle" class="latex-formula">
1\\\\4)\;\frac{5x-3}4-\frac{11x}6\geq\frac{2(1-x)}3+\frac{3x}2\;\;\;\times12\\3\cdot(5x-3)-2\cdot11x\geq8\cdot(1-x)+6\cdot3x\\15x-9-22x\geq8-8x+18x\\-7x-9\geq8+10x\\-7x-10x\geq-9-8\\-17x\geq-17\\x\leq1" alt="3)\;\frac{9-5x}2-\frac{4x}31\\\\4)\;\frac{5x-3}4-\frac{11x}6\geq\frac{2(1-x)}3+\frac{3x}2\;\;\;\times12\\3\cdot(5x-3)-2\cdot11x\geq8\cdot(1-x)+6\cdot3x\\15x-9-22x\geq8-8x+18x\\-7x-9\geq8+10x\\-7x-10x\geq-9-8\\-17x\geq-17\\x\leq1" align="absmiddle" class="latex-formula">