Answer:
It's option 2.
Step-by-step explanation:
- 1/2x > 6
Divide both sides by -1/2:
x < -12 (Note the inequality sign flips when we divide by a negative value).
Answer: {x |x ∈ R, x < -12}
Step-by-step explanation:
Given the following inequality:
[tex]-\frac{1}{2}x>6[/tex]
You can find the solution set by solving for the variable "x".
Then, to solve for the variable "x" you need to multiply both sides of the inequality:
[tex](-\frac{1}{2}x)(2)>(6)(2)[/tex]
[tex]-x>12[/tex]
And finally, you must multiply both sides of the inequality by (-1). Notice that the direction of the symbol of the inequality will change:
[tex](-x)(-1)>(12)(-1)[/tex]
[tex]x<-12[/tex]
Therefore, the solution set is: {x |x ∈ R, x < -12}
