## College Algebra (6th Edition)

$x\lt-3, x\gt5$
Since we are simplifying an absolute value, first solve for the original inequality, and then flip the sign and make the opposite side negative in the second inequality. $-4|1-x|\lt-16$ $|1-x|\gt4$ $1-x\gt4$ $-3\gt x$ $x\lt-3$ $1-x\lt-4$ $x\gt5$ $x\lt-3, x\gt5$