Respuesta :

Happil

Solving Equations with Absolute Values

Answer:

[tex]x = 7[/tex] and [tex]x = -1[/tex]

Step-by-step explanation:

Solving for the Positive Absolute Value:

[tex]|x -3| = 4 \\ x -3 = 4 \\ x -3 +3 = 4 +3 \\ x = 7[/tex]

Solving for the Negative Absolute Value:

[tex]|x -3| = 4 \\ -(x -3) = 4 \\ -(x -3) \cdot -1 = 4 \cdot -1 \\ x -3 = -4 \\ x -3 +3 = -4 +3 \\ x = -1[/tex]

maxmagabilin

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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