anonymous
  • anonymous
solve: |x=6|-4=2
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
|x+6|-4=2
myininaya
  • myininaya
abs(x+6)=2+4=6 abs(x+6)=6 x+6=6 and x+6=-6 x=0 x=-12
myininaya
  • myininaya
example: abs(x)=6 what two values for x will give you distance 6 do you know?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
x+6 = 0 --> x=-6 -x-6 = 0 ---> x=-6
myininaya
  • myininaya
how far is -6 away from 0? how far is 6 away from 0?
myininaya
  • myininaya
they are both six units from 0
myininaya
  • myininaya
abs(x)=6 has two solutions x=6 and x=-6 just like we found 2 solutions above but these problems could get trickier along the way and sometimes it will fail to have two solutions so you should begin checking to get in the practice of doing so
myininaya
  • myininaya
so let's check the above one: we got x=0 and x=-12 lets see if x=0 works plug it into the original equation abs(0+6)-4=2 abs(6)-4=2 6-4=2 2=2 so we got the samething on both sides so x=0 checks out how about x=-12 abs(-12+6)-4=2 abs(-6)-4=2 6-4=2 2=2 so x=-12 checks out
myininaya
  • myininaya
any questions?
anonymous
  • anonymous
OK! That makes perfect sense once you broke it down for me!! Thank you both so very much :)
myininaya
  • myininaya
u r welcome
anonymous
  • anonymous
Really it's simply a matter of: \[|x+6| - 4 = 2 \implies |x+6| =6 \]\[\implies x + 6 = 6 \text{ and } x+ 6 = -6\] \[\implies x = 12 \text{ and } x = 0\] are solutions.
myininaya
  • myininaya
no polpak i already won
myininaya
  • myininaya
lol
anonymous
  • anonymous
lol. I have another one similar to that, think you could help? \[3x-1\le 7\]
myininaya
  • myininaya
and he meant x=-12 not 12
anonymous
  • anonymous
Yes, whoops.
anonymous
  • anonymous
Certainly, though this one doesn't involve absolute values.
myininaya
  • myininaya
add the 1 to both sides
myininaya
  • myininaya
what do you get after you do that?
anonymous
  • anonymous
\[3x \le8\]
anonymous
  • anonymous
and when you divide both sides by 3?
myininaya
  • myininaya
omg gj
myininaya
  • myininaya
3/3=1 so 3x/3=x so we have x<=8/3
anonymous
  • anonymous
good...got the same answer!!! Thanks.

Looking for something else?

Not the answer you are looking for? Search for more explanations.