Question

HELP PLEASE?!?!?!?! :)

Find the solution set of |2x-3| + 1 = 6.
A. x = 1 or x = -1
B. x = 5 or x = -2
C. x = 4 or x = -1
D. x = 4 or x = -4

Answer 1

first you need to isolate |2x-3|

to do so, you subtract 1 from both sides

Answer 2

C. x = 4 or x = -1

Answer 3

|2x-3| + 1 = 6

|2x-3| + 1-1 = 6-1

|2x-3| = 5


making sense so far?

Answer 4

Let's solve your equation step-by-step.
|2x−3|+1=6
Step 1: Add -1 to both sides.
|2x−3|+1+−1=6+−1
|2x−3|=5
Step 2: Solve Absolute Value.
|2x−3|=5

Answer 5

We know either 2x−3=5 or 2x−3=−5

Answer 6

x−3=5(Possibility 1)
2x−3+3=5+3(Add 3 to both sides)
2x=8
2x/2=8/2
(Divide both sides by 2)
x=4/2x−3=−5(Possibility 2)
2x−3+3=−5+3(Add 3 to both sides)
2x=−2/2x
2=−2/2
(Divide both sides by 2)
x=−1
Answer:
x=4 or x=−1