# How do you solve and write the following in interval notation: 12<7/2a+(-2)?

Aug 12, 2016

$\left(4 , \infty\right)$

#### Explanation:

As we have $12 < \frac{7}{2} a + \left(- 2\right)$, this is equivalent to

$12 - \left(- 2\right) < \frac{7}{2} a$ or

$14 < \frac{7}{2} a$ or

$\frac{7}{2} a > 14$ or

a>(14×2)/7 or

$a > 4$ which can be written in interval form as

$\left(4 , \infty\right)$