marcelie
  • marcelie
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 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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marcelie
  • marcelie
This is what i did : l 6-x l = 5 -x +6 = 5 x = 1 ? please tell me if i am correct or wrong ?
sohailiftikhar
  • sohailiftikhar
you are correct
imqwerty
  • imqwerty
yea x=1 or x=11 are the answers :) u are 100% correct :D

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zzr0ck3r
  • zzr0ck3r
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 \(x=11\).
sohailiftikhar
  • sohailiftikhar
yes
zzr0ck3r
  • zzr0ck3r
But we are all actually wrong as it asked for the answer in set notation, so the answer is \(\{1,11\}\)
marcelie
  • marcelie
so the interval notation is from smallest to biggest ?
imqwerty
  • imqwerty
\[\left\{ 1,11 \right\}\]means that there r 2 elementary solutions 1 and 11 :)
sohailiftikhar
  • sohailiftikhar
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 -44
marcelie
  • marcelie
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 }
anonymous
  • anonymous
You are correct
marcelie
  • marcelie
for my second problem ?
sohailiftikhar
  • sohailiftikhar
yes! :) now you got the concept buddy
sohailiftikhar
  • sohailiftikhar
now close this question and ask new :)
marcelie
  • marcelie
Okay. I checked my solution book and it did include the - 9/4 ?
marcelie
  • marcelie
i mean 9/4 .
sohailiftikhar
  • sohailiftikhar
wait in book -9/4 is not given ?
marcelie
  • marcelie
yes , the interval notation says { 9/4 , 13/4}
sohailiftikhar
  • sohailiftikhar
no it will be -9/4 to 13/4 not 9/4
marcelie
  • marcelie
Okay . Thanks.
sohailiftikhar
  • sohailiftikhar
np

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