Answer
$x < 17/4$ or $x > -3/4$
Work Step by Step
$abs(\frac{4x-7} {5}) < 2$
$(\frac{4x-7} {5}) < 2$ or $(\frac{4x-7} {5}) > -2$
$(\frac{4x-7} {5})*5 < 2*5$
$4x-7 < 10$
$4x-7+7 < 10+7$
$4x < 17$
$4x/4 < 17/4$
$x < 17/4$
$(\frac{4x-7} {5}) > -2$
$(\frac{4x-7} {5})*5 > -2*5$
$4x-7 > -10$
$4x-7+7 > -10+7$
$4x > -3$
$4x/4 > -3/4$
$x > -3/4$