anonymous
  • anonymous
What is the sum of the solutions of 2[x-1]-4=-2?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Directrix
  • Directrix
Are these brackets for absolute value or the greatest integer function or something else? @kaitlyn9695
anonymous
  • anonymous
Honestly, I'm not sure. I got this question wrong and I'm trying to figure out how to solve it:/
anonymous
  • anonymous
This is what it looks like on my paper
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anonymous
  • anonymous
|x-1| means the absolute value of x-1
anonymous
  • anonymous
Absolute value of 1 = 1 Absolute value of -1 = 1
anonymous
  • anonymous
Absolute value just means distance away from zero
anonymous
  • anonymous
so it would be 2 [1]-4=-2
anonymous
  • anonymous
don't take it into account at first
anonymous
  • anonymous
solve for x
Directrix
  • Directrix
>>so it would be 2 [1]-4=-2 No
shaik0124
  • shaik0124
2[x-1]-4=-2? put x=0 2[0-1]-4=2*(-1)-4 =-2-4=-6 since -6 is not equal to -2, 0 is not a solution now try with another number lets take x=2 now 2[2-1]-4=2*1-4 =-2 since -2 is equal to -2 x=2 is a solution similarly consider other values of x which satisfies the equation and add all those which satifies the equation
shaik0124
  • shaik0124
@kaitlyn9695 got it?
anonymous
  • anonymous
Yes thank you very much! Seeing it broken down was very helpful! This is my last class before I graduate and its a big pain in the butt!
anonymous
  • anonymous
and the add 2 to each side came from the 4?
shaik0124
  • shaik0124
on the right hand side 2 is negative so -2+2 will be 0
anonymous
  • anonymous
okay I understand now. When I do future equations like this I just need to plug in the multiple choice option and see if its equal
shaik0124
  • shaik0124
yeah
shaik0124
  • shaik0124
or u can do like this 2[x-1]-4=-2 add 2 on both sides then u will get 2[x-1]-4+2=-2+2 2[x-1]-2=0 again add 2 on both sides then u will get 2[x-1]=2 divide by 2 the equation will be x-1=1 add 1 on both sides x=2
shaik0124
  • shaik0124
Just plugin
shaik0124
  • shaik0124
have u understood the way i solved
anonymous
  • anonymous
It makes a lot more sense now. Thank you! You're a great teacher
shaik0124
  • shaik0124
u can plugin or directly obtain the value of variable by adding or subtracting (whatever is required
shaik0124
  • shaik0124
U can take my help anytime pleasure to help u
anonymous
  • anonymous
Thank you, I will let you know if I get stuck again.
shaik0124
  • shaik0124
sure
zepdrix
  • zepdrix
\[\large\rm 2|0-1|-4=-2\]Absolute value of -1 is 1,\[\large\rm 2(1)-4=-2\]\[\large\rm -2=-2\] @shaik0124 Is true, so x=0 `is` a solution. They wanted the `sum of the solutions` though, 2 + 0 = 2, so missing that doesn't really affect your answer :)

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