For this case we have the following inequality:
[tex]- \frac{1}{2}x \ \textgreater \ 6 [/tex]
We multiply both sides of the equation by -1.
By doing this, change the symbol of the inequality.
We have then:
[tex]\frac{1}{2}x\ \textless \ -6 [/tex]
From here, we clear the value of x.
We have then:
[tex]x \ \textless \ (2) (- 6)
[/tex]
[tex]x \ \textless \ -12
[/tex]
Answer:
The solution set is:
{x | x R, x < -12}
