Given:
The inequality is
[tex]-2x+2>3x-8[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]-2x+2>3x-8[/tex]
Isolate the variables terms on the left side.
[tex]-2x-3x>-2-8[/tex]
[tex]-5x>-10[/tex]
Divide both sides by -5 and change the inequality sign as we divide the equality by a negative value.
[tex]\dfrac{-5x}{-5}<\dfrac{-10}{-5}[/tex]
[tex]x<2[/tex]
Therefore, the correct option is D.
