# How do you solve absx<1+abs1.5?

Note that $\left\mid 1.5 \right\mid = 1.5$ (taking the absolute value of a positive value has no effect on the value.
$\left\mid x \right\mid < 1 + \left\mid 1.5 \right\mid$
$\left\mid x \right\mid < 2.5$
or $- 2.5 < x < 2.5$