The inequality \( 3x - 12 \neq 0 \) can be solved to determine the value of \( x \) that would cause a division by zero in an expression involving this term.
To find the value, we set the expression equal to zero:
\[
3x - 12 = 0
\]
Adding 12 to both sides gives:
\[
3x = 12
\]
Now, divide both sides by 3:
\[
x = 4
\]
To prevent division by zero, we conclude that \( x \) must not equal 4:
\[
x \neq 4
\]
This means in any mathematical expression where \( 3x - 12 \) is in the denominator, \( x \) cannot be equal to 4 to avoid an undefined situation (division by zero).
If you have a specific context in mind where this inequality appears, please provide further details!