$x\leq-4$ OR $x\geq10$
Work Step by Step
$|x-3|\geq7\longrightarrow$ write a compound inequality $x-3\leq-7$ OR $x-3\geq7\longrightarrow$ add 3 to each part $x-3+3\leq-7+3$ OR $x-3+3\geq7+3\longrightarrow$ add $x\leq-4$ OR $x\geq10$
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