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larisa [96]
3 years ago
11

Solve the following equation |x – 3| = 4. Show all work.

Mathematics
2 answers:
Igoryamba3 years ago
8 0
<h2>Solving Equations with Absolute Values</h2><h3>Answer:</h3>

x = 7 and x = -1

<h3>Step-by-step explanation:</h3>

Solving for the Positive Absolute Value:

|x -3| = 4 \\ x -3 = 4 \\ x -3 +3 = 4 +3 \\ x = 7

Solving for the Negative Absolute Value:

|x -3| = 4 \\ -(x -3) = 4 \\ -(x -3) \cdot -1 = 4 \cdot -1 \\ x -3 = -4 \\ x -3 +3 = -4 +3 \\ x = -1

Solnce55 [7]3 years ago
8 0

Answer:

x=7, x=−1

Explaination

Find all solutions for x

by breaking the absolute value into the positive and negative components.

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