Answer:
[tex]x<-\frac{1}{4}\text{ or } x<-0.25[/tex]
Step-by-step explanation:
So we want to solve the inequality:
[tex]2x-3>6x-2[/tex]
First, subtract 6x from both sides. The right cancels:
[tex]-4x-3>-2[/tex]
Add 3 to both sides:
[tex]-4x>1[/tex]
Divide both sides by -4. Since we're dividing by a negative, the sign flips. Thus:
[tex]x<-\frac{1}{4}[/tex]
And we're done!
