#### Answer

$|x-7|\geq3$

#### Work Step by Step

$|u|\lt a~↔~-a\lt u\lt a$
$|u|\leq a~↔~-a\leq u\leq a$
$|u|\gt a~↔~u\lt-a~or~u\gt a$
$|u|\geq a~↔~u\leq-a~or~u\geq a$
The numbers must be greater or equal to 10 or less than or equal to 4:
$x\leq4$ or $x\geq10$
$x-7\leq4-7$ or $x-7\geq10-7$
$x-7\leq-3$ or $x-7\geq3$
$|x-7|\geq3$