[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
What is the solution to the following inequality?
|4x -81 > 32
- I don't know if you meant, 4x - 81 > 32 OR 14x - 81 > 32. So, I've provided the answers for both.
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
1) 4x - 81 > 32
[tex]4x -81 > 32
[/tex]
Add 81 to both sides.
[tex]4x>32+81 [/tex]
Add 32 and 81 to get 113.
[tex]4x>113 [/tex]
Divide both sides by 4. As 4 is >0, the inequality direction remains the same.
[tex] \boxed{\boxed{\bf \: x>\frac{113}{4} }}[/tex]
__________________
2) 14x - 81 > 32
[tex]14 x - 81 \gt 32[/tex]
Add 81 to both sides.
[tex]14x>32+81 [/tex]
Add 32 and 81 to get 113.
[tex]14x>113 [/tex]
Divide both sides by 14. As 14 is >0, the inequality direction remains the same.
[tex] \boxed{ \boxed{ \bf \: x>\frac{113}{14} }}[/tex]
