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}
