How do you solve the inequality 162 > -3a(5+1)?

Jan 11, 2016

$a > - 9$

Explanation:

$162 > \left(- 3 a \left(5 + 1\right)\right)$

$\therefore 162 > \left(- 3 a \cdot 6\right)$

$\therefore {\cancel{162}}^{27} / {\cancel{6}}^{1} > \left(- 3 a \cdot {\cancel{6}}^{1} / {\cancel{6}}^{1}\right)$

$\therefore 27 > \left(- 3 a\right)$

We can change sign and string inequality operator

$\therefore \textcolor{red}{-} 27 \textcolor{red}{<} 3 a$

We can change sign and

$\therefore 3 a > - 27$

$a > - {\cancel{27}}^{9} / {\cancel{3}}^{1}$

$a > - 9$