To determine the undefined value for the equation \( 14 = 7 \times 9 + 4x \), you first need to solve the equation.
- Calculate \( 7 \times 9 = 63 \).
- Substitute back into the equation: \( 14 = 63 + 4x \).
- Rearranging it gives \( 4x = 14 - 63 \) or \( 4x = -49 \).
- To find \( x \), divide by 4: \( x = -\frac{49}{4} \).
Now the choices provided are about undefined values. In this case, we are looking for any restrictions on \( x \) from the equation, but \( x = -\frac{49}{4} \) does not apply to any of the choices directly.
However, the undefined values are typically related to division by zero or other undefined operations. Here, there are no operations that would lead to such a condition within the equation.
From the responses provided, none of them directly indicate a situation where \( x \) would be undefined in the context of the given equation. If forced to choose, one could argue that none are correct since there is no relevant division by zero or undefined scenarios given in the equation.
If you simply need to select one of the choices and looking for possible restrictions to avoid undefined behavior typically seen in equations, the closest would be \( x \neq 0 \) simply as a general principle.
Final selection: x≠0 (commonly, we'd say \( x \) cannot be \( 0 \)).