What is `|3 - x|` when x = 8 ?

Options

A. `-11`
B. `-5`
C. `5`
D. `8`

Answer

To solve the problem \( |3 - x| \) when \( x = 8 \), we can follow these steps:

### Step 1: Substitute the value of \( x \)
We start by substituting \( x = 8 \) into the expression \( |3 - x| \).

\[ |3 - x| = |3 - 8| \]

### Step 2: Simplify the expression inside the absolute value
Now we simplify the expression inside the absolute value.

\[ 3 - 8 = -5 \]

### Step 3: Apply the absolute value
The absolute value of a number is its distance from zero on the number line, which means we take the positive value of the result.

\[ |-5| = 5 \]

### Conclusion
Thus, \( |3 - x| \) when \( x = 8 \) is equal to \( 5 \).

### Final Answer
\[ |3 - 8| = 5 \]

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