Question

Solve for x.show your work please

- 1/2x < -12

Answer 1

x <24

Step-by-step explanation:

first cancel negative signs

then transfer 2 to right side

Answer 2

Greetings.

The answer is x > 24.

Step-by-step explanation:

Solving Inequality is almost the same as equation. However, you have to know one thing about solving an Inequality.

That is whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality.

`-(1)/(2)x<-12`

Reminder that

`-(1)/(2)x=-(x)/(2)`

We use negative x above 2 instead (Easier in solving)

`-(x)/(2)<-12`

Then we move 2 to divide -12.

`-x<-12(2)\\-x<-24`

Because the coefficient for x is in negative. We move -1 to divide -24 as we get 24 (Because negative divide negative = positive)

But remember that "whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality."

So we change from < to > instead.

`x>24`