Answer
$-4\frac{1}{12}\leq w\lt12\frac{1}{4}$
Work Step by Step
$-\frac{4}{3}\leq\frac{1}{7}w-\frac{3}{4}\lt1\longrightarrow$ using the addition property of inequality, add $\frac{3}{4}$ to each part
$-\frac{4}{3}+\frac{3}{4}\leq\frac{1}{7}w-\frac{3}{4}+\frac{3}{4}\lt1+\frac{3}{4}\longrightarrow$ add
$-\frac{7}{12}\leq\frac{1}{7}w\lt1\frac{3}{4}\longrightarrow$ using the multiplication property of inequality, multiply each part by 7
$-\frac{7}{12}\times7\leq\frac{1}{7}w\times7\lt1\frac{3}{4}\times7\longrightarrow$ simplify
$-4\frac{1}{12}\leq w\lt12\frac{1}{4}$
