Greetings.
The answer is x > 24.
Explanation:
Solving Inequality is almost the same as equation. However, you have to know one thing about solving an Inequality.
<em>That is </em><em>whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality.</em>
![-\frac{1}{2}x](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%3C-12)
Reminder that
![-\frac{1}{2}x=-\frac{x}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B2%7Dx%3D-%5Cfrac%7Bx%7D%7B2%7D)
We use negative x above 2 instead (Easier in solving)
![-\frac{x}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7Bx%7D%7B2%7D%3C-12)
Then we move 2 to divide -12.
![-x](https://tex.z-dn.net/?f=-x%3C-12%282%29%5C%5C-x%3C-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 "<em>whenever you move the negative coefficient of the variable, you have to swap the sign of Inequality."</em>
So we change from < to > instead.
![x>24](https://tex.z-dn.net/?f=x%3E24)