How do you solve and write the following in interval notation: 6<7/2a+(-8)?

Aug 15, 2016

$a > 4$ and in interval notation, this is written as $\left(4 , \infty\right)$.

Explanation:

As $6 < \frac{7}{2} a + \left(- 8\right)$, we have

$6 + 8 < \frac{7}{2} a$ or

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

a>14×2/7 or

$a > 4$ and in interval notation, it can be written as $\left(4 , \infty\right)$.