Answer :

[tex]| 5x - 3 |\geq 7\\ 5x-3\geq7 \vee 5x-3\leq-7\\ 5x\geq10 \vee 5x\leq-4\\ x\geq 2 \vee x\leq-\frac{4}{5}\\ x\in\langle-\frac{4}{5},2\rangle[/tex]