Question

What is the solution to the following inequality? |4x -81 > 32

Answer 1

$\huge \boxed{\mathfrak{Question} \downarrow}$

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.

$\huge \boxed{\mathfrak{Answer} \downarrow}$

1) 4x - 81 > 32

$4x -81 > 32$

Add 81 to both sides.

$4x>32+81$

Add 32 and 81 to get 113.

$4x>113$

Divide both sides by 4. As 4 is >0, the inequality direction remains the same.

$\boxed{\boxed{\bf \: x>\frac{113}{4} }}$

__________________

2) 14x - 81 > 32

$14 x - 81 \gt 32$

Add 81 to both sides.

$14x>32+81$

Add 32 and 81 to get 113.

$14x>113$

Divide both sides by 14. As 14 is >0, the inequality direction remains the same.

$\boxed{ \boxed{ \bf \: x>\frac{113}{14} }}$