Answer
$-1\lt x\lt9$
Work Step by Step
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.
$|4-x|\lt5$
$4-x\lt5$
$-x\lt1$
$x\gt-1$
$4-x\gt-5$
$-x\gt-9$
$x\lt9$
$-1\lt x\lt9$
