Answer
$\frac{3}{2}\leq x\lt\frac{11}{2}$
Work Step by Step
Add $3$ to all three expressions. Then divide them all by $4$ and simplify.
$3\leq4x-3\lt19$
$6\leq4x\lt22$
$\frac{6}{4}\leq x\lt\frac{22}{4}$
$\frac{3}{2}\leq x\lt\frac{11}{2}$