How do you solve and write the following in interval notation: -7<b/9<0?

Apr 4, 2018

See explanation.

Explanation:

To solve such double inequality you can use all methods used in standard inequalities only remembering to use them for all sides. Here you can multiply all sides by $9$:

$- 7 < \frac{b}{9} < 0$ 

After multiplying by $9$ you get:

$- 63 < b < 0$

The numbers fulfilling the inequality are greater than $- 63$ and smaller than $0$, so the solution can be written as: