Question

How do I do this problem?

Answer 1

$4b+18\leq-12b-14\leq14-5b\\4b+18\leq-12b-14\,and\,-12b-14\leq14-5b\\4b+12b\leq-14-18\,and\,-14-14\leq-5b+12b\\16b\leq-32\,and\,-28\leq7b\\b\leq-\frac{32}{16}\,and\,-\frac{28}{7}\leq b\\b\leq-2\,and\,b\geq-4\\-4\leq b \leq-2$