jazzyfa30
  • jazzyfa30
Solve: |4x + 2| + 6 =0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathslover
  • mathslover
|4x+2| = - 6, is it possible?
mathslover
  • mathslover
\(\mathsf{|x| \ge 0}\) It can never be less than zero. So no solution for x here.
jazzyfa30
  • jazzyfa30
what

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jazzyfa30
  • jazzyfa30
@jhonyy9 can you explain it better
mathslover
  • mathslover
jazzy can u tell me, what does |x| mean?
jazzyfa30
  • jazzyfa30
it's a variable for the number we don't know
mathslover
  • mathslover
Not completely true. |x| is diff. from x. |x| means absolute value of x that is , if x is negative , then |x| will be positive. If x is positive, then |x| will be positive. Example : |-3| = 3 |-2| = 2
mathslover
  • mathslover
So that means, |x| can not be negative.
mathslover
  • mathslover
Getting it?
jazzyfa30
  • jazzyfa30
yes a little
mathslover
  • mathslover
Good. so we have in the question : |4x+2| + 6 =0 that means, |4x+2| = -6 , right?
jazzyfa30
  • jazzyfa30
yes
mathslover
  • mathslover
But as we discussed earlier, |anything| can not be negative. But here, we have |4x+2| as negative that is -6. So, it is not possible for any value of x.
mathslover
  • mathslover
So I will say there is no solutions.
jazzyfa30
  • jazzyfa30
okay
jazzyfa30
  • jazzyfa30
wait so if the answer has to be positive
mathslover
  • mathslover
Well actually, if it wasy |4x+2| - 6 = 0 then : |4x+2| = 6 You have further took cases and solved it.
mathslover
  • mathslover
But here it is clear that, we have |4x+2| = - 6 which is not possible. So, the only point is to notice here that as it is not true for any value of x , so there will be no solutions. Lemme know where u have doubt ?
mathslover
  • mathslover
Sorry have to go, but if u have further doubts, u can consult @Zarkon and @jhonyy9 .
jazzyfa30
  • jazzyfa30
okay @jhonyy9 aren't we suppose to remove the absolute value symbol
jazzyfa30
  • jazzyfa30
can some one please answer my question
anonymous
  • anonymous
the answer is Empty set or no solution({ })because a number out of absolute value never be negative!!!!!
jazzyfa30
  • jazzyfa30
still confused
anonymous
  • anonymous
[4x+2]=-6.....(after rearranging) it shows that any number is substituted in place of X it never gives negative number !!!!it is always >= 0
jazzyfa30
  • jazzyfa30
o now I get it thanks

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