Answer:
[tex]\boxed{\bold{x>3}}[/tex]
Step By Step Explanation:
Subtract 2 From Both Sides
[tex]\bold{7x+2-2<9x-4-2}[/tex]
Simplify
[tex]\bold{7x<9x-6}[/tex]
Subtract 9x From Both Sides
[tex]\bold{7x-9x<9x-6-9x}[/tex]
Simplify
[tex]\bold{-2x<-6}[/tex]
Multiply Both Sides By -1 (Reverse Inequality)
[tex]\bold{\left(-2x\right)\left(-1\right)>\left(-6\right)\left(-1\right)}[/tex]
Simplify
[tex]\bold{2x>6}[/tex]
Divide Both Sides By 2
[tex]\bold{\frac{2x}{2}>\frac{6}{2}}[/tex]
Simplify
[tex]\bold{x>3}[/tex]
- Mordancy
