## Intermediate Algebra (12th Edition)

$(-∞,∞)$
We are given the inequality $|5x-8|+9\geq7$. In order to solve, first subtract 9 from both sides. $|5x-8|\geq-2$ Therefore, $x$ will have a solution of all real numbers, because the absolute value of $5x-8$ will be greater than -2 for all real numbers.