Question

2Ix+2I-1=5
Which represents the solution t the absolute value equation?
a.x=4 or x=8
b. x=1 or x=-1
c. x=1 or x=-5
d. x=5 or x=-5

Answer 1

start by isolating the variable we're solving for. in this case, we have some extra things attached to the variable.

\(2|x+2|-1=5\)
step 1: add 1 to both sides
\(2|x+2|=6\)
step 2: divide both sides by 2
\(|x+2|=3\)
then we can set up 2 equations:
\(x+2=3\\x+2=-3\)

solve: \(x= 1,-5\)