Question

Can someone tell me if I'm right or wrong?

What is the solution set of |x – 2| + 4 = 3?

There's no solution to this.

Answer 1

You would be correct

Answer 2

Why do you say there are no solutions?

Answer 3

@mrbarry tried solving it?

Answer 4

I was trying to encourage thought, but someone said yes before I hit enter so I looked a bit dumb. I know the answer in my head.

Answer 5

Yes, I already tried solving it. My answers were...

x-2+4=3
+2 +2 +2

x+6=5
-6 -6

x= -1

then

x-2-4=-6
+2 +2 +2

x-2-1
+2 +2

x= 1

Wait... So, I made a mistake in my previous calculation I just realized it.. The answer is -1 or 1.

Right or wrong?

Answer 6

Absolute value is always _________. Remember, to start the problem get the abs value isolated.

Answer 7

I honestly have no idea what I'm doing Mr.Barry.... I'm just going with the flow and hoping I have right answers. I just need to know which one of my answers was right... ;~; Cause, you can explain all you like, I have NO idea what I'm doing.

Answer 8

|x – 2| + 4 = 3
for x = -1 ---->
|-1 – 2| + 4 = 3
|– 3| + 4 = 3
3 + 4 = 3
7 = 3

LHS not equal RHS

Answer 9

Sure you do. If you start by getting the abs value isolated you get abs value = -1. That isn't possible so you were right. I was warned not to give away answers. Sorry to drag things out for you.

Answer 10

Oh, so there was not solution! Thank goodness, I was right. xD

Answer 11

You're working way too hard.

Leave the absolute value expression alone. I defer to mrbarry. Too many quick answers around here

Answer 12

|x-2|+4=3
|x-2| =-1
x - 2 = -1 OR -( x - 2 )= -1
x =-1 + 2 OR -x + 2 = -1
x = 1 OR -x = -3 => x=3

TO CHECK IF THESE ARE SOLUTIONS:

X = 1 OR x = 3
|1 - 2| + 4 = 3 OR |3 - 2| + 4 = 3
|-1| + 4 = 3 OR |1| + 4 = 3
1 + 4 = 3 1 + 4 = 3
5 does not = 3 5 does not = 3