## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$\left\{ b|b\gt -1 \right\} \text{ or } \left( -1,\infty \right)$
Using the properties of inequality, the given inequality, $4b+7\gt2-b ,$ is equivalent to \begin{array}{l}\require{cancel} 4b+b\gt2-7 \\\\ 5b\gt-5 \\\\ b\gt-\dfrac{5}{5} \\\\ b\gt-1 .\end{array} Hence, the solution is $\left\{ b|b\gt -1 \right\} \text{ or } \left( -1,\infty \right) .$