Question

Help me !!!!

For the following exercises solve the equation below and express the answer using set notation.
l 6-x l = 5

But the answer is 1, 1/2 , -2. How did they get these answers ?

Answer 1

This is what i did :

l 6-x l = 5
-x +6 = 5
x = 1 ?
please tell me if i am correct or wrong ?

Answer 2

you are correct

Answer 3

yea x=1 or x=11 are the answers :) u are 100% correct :D

Answer 4

I would not say you are 100% correct. You are 50% correct.

Remember \(|A|=b\) means \(a=b\) and \(-a=b\)

So you have \(6-x=5\) which gives \(x=1\) But we must also consider \[-(6-x)=5\] which leads to \(x=11\).

Answer 5

yes

Answer 6

But we are all actually wrong as it asked for the answer in set notation, so the answer is

\(\{1,11\}\)

Answer 7

so the interval notation is from smallest to biggest ?

Answer 8

\[\left\{ 1,11 \right\}\]means that there r 2 elementary solutions 1 and 11 :)

Answer 9

when ever you see the modulus you have to consider the negative and positive values means less then the positive value and greater than the negative value like that
\[\left| x \right|=4\] it means -4<x>4

Answer 10

oh okay . Got it !! Thank Yous !!!
I have another equation bur under same category.

l 4x-2 l =11
x= 13/4 and x = -9/4 ? interval notation : { -9/4 , 13/4 }

Answer 11

You are correct

Answer 12

for my second problem ?

Answer 13

yes! :) now you got the concept buddy

Answer 14

now close this question and ask new :)

Answer 15

Okay. I checked my solution book and it did include the - 9/4 ?

Answer 16

i mean 9/4 .

Answer 17

wait in book -9/4 is not given ?

Answer 18

yes , the interval notation says { 9/4 , 13/4}

Answer 19

no it will be -9/4 to 13/4 not 9/4

Answer 20

Okay . Thanks.

Answer 21

np