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]
