[tex]3x-5\geq-2x+1\qquad|+5\\\\3x\geq-2x+6\qquad|+2x\\\\5x\geq6\qquad|:5\\\\\boxed{x\geq\dfrac{6}{5}}[/tex]
[tex]4x+3\leq2(x+1)\\\\4x+3\leq(2)(x)+(2)(1)\\\\4x+3\leq2x+2\qquad|-3\\\\4x\leq2x-1\qquad|-2x\\\\2x\leq-1\qquad|:2\\\\\boxed{x\leq-\dfrac{1}{2}}[/tex]
[tex]3x+5(2x+8)\leq3x-8\\\\3x+(5)(2x)+(5)(8)\leq3x-8\\\\3x+10x+40\leq3x-8\\\\13x+40\leq3x-8\qquad|-40\\\\13x\leq3x-48\qquad|-3x\\\\10x\leq-48\qquad|:10\\\\\boxed{x\leq-4.8}[/tex]
