Which of the following is the value of x in the equation below. (|2x - 4| - 10 = 2)
A. x=4 or x=-8
B. x=-4 or x=8
C. x=-2 or x=1
D. x=-3 or x=5
Explanation:
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If , a>0, then u=a or u=-a
In this case a=12, which is greater 0. Then, the first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4 or 8.
Therefore, the Correct Answer is B.