[tex]\text{When you solve for absolute value, there could be two possible outcomes}\\\\\text{In this question, the outcomes could be:}\\\\-2x+4\geq4\\\text{or}\\\\-2x+4\geq-4\\\\\text{Solve:}\\\\\text{Possibility 1:}\\\\-2x+4\geq4\\\\\text{Subtract 4 from both sides}\\\\-2x\geq0\\\\\boxed{x\leq0}\\\\\text{Possibility 2:}\\\\-2x+4\geq-4\\\\-2x\geq-8\\\\\boxed{x\geq4}[/tex]
