Answer:
The solution set is {x|x∈R, x>3}.
Step-by-step explanation:
The given inequality is
[tex]8x-6>12+2x[/tex]
We need to find the x of x for the given inequality.
Subtract 2x from bot sides.
[tex]8x-6-2x>12+2x-2x[/tex]
On combining like terms, we get
[tex](8x-2x)-6>12+(2x-2x)[/tex]
[tex]6x-6>12[/tex]
Add 6 on both sides.
[tex]6x-6+6>12+6[/tex]
[tex]6x>18[/tex]
Divide both sides by 6.
[tex]\frac{6x}{6}>\frac{18}{6}[/tex]
[tex]x>3[/tex]
The value of x is all real numbers which are greater than 3.
Solution set = {x|x∈R, x>3}
Therefore the solution set is {x|x∈R, x>3}.
