Question

Given: - 1/2x > 6.

Choose the solution set.

x
x R, x < -12
x R, x > -3
x R, x < -3

Answer 1

It's option 2.

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 2

Answer: x

Explanation:

Given the following inequality:

`-(1)/(2)x>6`

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:

`(-(1)/(2)x)(2)>(6)(2)`

`-x>12`

And finally, you must multiply both sides of the inequality by (-1). Notice that the direction of the symbol of the inequality will change:

`(-x)(-1)>(12)(-1)`

`x<-12`

Therefore, the solution set is: x ∈ R, x < -12