Answer
$5\geq x\geq 10$
Please see image
Work Step by Step
$x+4\leq 9$ or $ x-3\geq 7\qquad$ ...solve each inequality separately.
$ x+4\leq 9\qquad$ ...add $-4$ to each side of the inequality.
$ x+4-4\leq 9-4\qquad$ ...simplify.
$x\leq 5$
$ x-3\geq 7\qquad$ ...add $3$ to each side of the inequality.
$ x-3+3\geq 7+3\qquad$ ...simplify.
$x\geq 10$
The solutions are all real numbers that are less or equal to $5$ and greater or equal to $10$.
Use solid dots on the number line to indicate $5$ and $10$ are solutions.
