Question

Solve the absolute value equation |2x - 4| = 10. Select two answers from the choices below.

a. x = 7
b. x = -3
c. x = 2
d. x = -6

Answer 1

Answer:

$x = 7\\\\x = -3$

Step-by-step explanation:

$To \ solve \ the \ absolute \ value \ equation \ \( |2x - 4| = 10\), we can set up two cases:\\1. \(2x - 4 = 10\)\\2. \(2x - 4 = -10\)\\Case 1: \(2x - 4 = 10\)\\Add 4 to both sides:\[2x = 14\]Divide by 2:\[x = 7\]\\\\Case 2: \(2x - 4 = -10\)\\Add 4 to both sides:\[2x = -6\]Divide by 2:\[x = -3\]So, the correct answers are:\\a. \(x = 7\) \\b. \(x = -3\)$