Solve the equation using the inverse operation: x/4 = 12

A. Inverse operation is division; x = 48
B. Inverse operation is addition; x = 16
C. Inverse operation is subtraction; x = 8...
D. Inverse operation is multiplication; x = 48

1 answer

To solve the equation \( \frac{x}{4} = 12 \) using the inverse operation, we need to isolate \( x \).

The equation is currently dividing \( x \) by 4. The inverse operation of division is multiplication. Therefore, to isolate \( x \), we will multiply both sides of the equation by 4:

\[ x = 12 \times 4 \]

Calculating the right side:

\[ x = 48 \]

So the correct inverse operation is multiplication.

Thus, the correct answer is:

D. Inverse operation is multiplication; x = 48.

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