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Chapter 1: Q 114. (page 38)

In the following exercises, simplify each expression.

7-5-34-1-6

Short Answer

Expert verified

-3

Step by step solution

01

Step 1. Given Information

The given expression is7-5-34-1-6.

02

Step 2. Simplify the expression inside the absolute bar. 

  • Remove the bracket first by subtracting 1 from 4.

7-5-34-1-6=7-5-33-6

  • Apply the order of operation. Multiply 3 by 3 and then simplify further by adding and subtracting.

7-5-33-6=7-5-9-6=7-5-15=7--10

03

Step 3. Use the definition of the absolute value. 

  • Since the absolute value is always greater than and equal to 0, take the absolute value of the obtained value in the previous step.
  • Simplify.

7--10=7-10=-3

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