## Intermediate Algebra (6th Edition)

$(-∞,-\frac{3}{7}]U[1,∞)$
We are given that $|7x-2|\geq5$, so we know that $7x-2\geq5$ or $7x-2\leq-5$. We can solve these equations to find solutions for x. For $7x-2\geq5$, add 2 to both sides. $7x\geq7$ Divide both sides by 7. $x\geq1$ For $7x-2\leq-5$, add 2 to both sides. $7x\leq-3$ Divide both sides by 7. $x\leq-\frac{3}{7}$