Given:
The inequality is:
[tex]\dfrac{4}{3}<-\dfrac{8}{3}y[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]\dfrac{4}{3}<-\dfrac{8}{3}y[/tex]
Multiply both sides by 3.
[tex]4<-8y[/tex]
Divide both sides by -8 and change the sign of inequality.
[tex]\dfrac{4}{-8}>\dfrac{-8y}{-8}[/tex]
[tex]-\dfrac{1}{2}>y[/tex]
It can be written as:
[tex]y<-\dfrac{1}{2}[/tex]
Therefore, the correct option is A.
