## College Algebra (6th Edition)

$-1\lt x\lt9$
Solve the first inequality by removing the absolute value sign and simplifying, and solve the second inequality by flipping the sign, making the right side negative, and then simplifying. $|4-x|\lt5$ $4-x\lt5$ $-x\lt1$ $x\gt-1$ $4-x\gt-5$ $-x\gt-9$ $x\lt9$ $-1\lt x\lt9$