Questions: Evaluate the expression [ -28--19 ]

Evaluate the expression [ -28--19 ]
Transcript text: Evaluate the expression \[ ||-28|-|-19|| \]
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Solution

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Solution Steps

To evaluate the expression ∥∣−28∣−∣−19∣∣\||-28|-|-19||, we need to follow these steps:

  1. Calculate the absolute value of -28.
  2. Calculate the absolute value of -19.
  3. Subtract the absolute value of -19 from the absolute value of -28.
  4. Take the absolute value of the result from step 3.
Step 1: Calculate Absolute Values

First, we calculate the absolute values: ∣−28∣=28 |-28| = 28 ∣−19∣=19 |-19| = 19

Step 2: Subtract Absolute Values

Next, we subtract the absolute value of -19 from the absolute value of -28: 28−19=9 28 - 19 = 9

Step 3: Take Absolute Value of the Result

Finally, we take the absolute value of the result from the previous step: ∣9∣=9 |9| = 9

Final Answer

The final result is 9\boxed{9}.

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