Chapter 1: Q. 399 (page 91)

In the following exercise, simplify.
$12 - 3 |1 - 4 (4 - 2)|$

Short Answer

Expert verified

The given absolute value expression is simplified to $- 9 .$

Step by step solution

Step 1.Given information

The absolute expression is $12 - 3 |1 - 4 (4 - 2)|$

Step 2. Concept used

The modulus of a positive or negative number is always positive.

Step 3.Simplify

$12 - 3 |1 - 4 (4 - 2)| = 12 - 3 |1 - 4 (4 - 2)| simplifyinsidethemodulus = 12 - 3 |1 - 4 (2)| = 12 - 3 |1 - 8| = 12 - 3 |- 7| = 12 - 3 (7) Since, |- 7| =7 = 12 - 21 = - 9$

Hence, the simplified value is $- 9 .$

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In the following exercise, simplify.
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Short Answer

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