anonymous
  • anonymous
Solve 3(x + 2) > x. {x | x < -1} {x | x > -1} {x | x < -3} {x | x > -3}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Well, first distribute the left side to get rid of the parenthesis
anonymous
  • anonymous
i dont know how to distribute
anonymous
  • anonymous
Let me show you:

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anonymous
  • anonymous
\[3\left( x+2 \right)>x\] 3x+6>x 3x+6-x>x-x 2x+6>0 subtract 6 from both sides and then divide by 2
anonymous
  • anonymous
|dw:1432763780277:dw|
anonymous
  • anonymous
do i divide both sides by 6 now?
anonymous
  • anonymous
Hmm, close, try *subtracting* both sides by 6.
anonymous
  • anonymous
|dw:1432764029685:dw|
anonymous
  • anonymous
Now what do you think you should do?
anonymous
  • anonymous
divide by 3?
anonymous
  • anonymous
Yes! On both sides.
anonymous
  • anonymous
|dw:1432764187034:dw|
anonymous
  • anonymous
Now what do you think you should do?
anonymous
  • anonymous
subtract 2?
anonymous
  • anonymous
Remember: We need to bring the x's onto one side because we are trying to isolate the x variable in order to find x.
anonymous
  • anonymous
Try subtracting the x on the right on both sides
anonymous
  • anonymous
does that give me >-2?
anonymous
  • anonymous
No, try again
anonymous
  • anonymous
|dw:1432764486779:dw|
anonymous
  • anonymous
so i have x>-2+x
anonymous
  • anonymous
and if i remove x from both sides
anonymous
  • anonymous
Yes, but I believe I did something wrong. Let me solve this on my own. I apologize
anonymous
  • anonymous
I got x > -3. Let me show you.
anonymous
  • anonymous
tep 1 : Simplify 3•(x+2) - x Pulling out like terms : 1.1 Pull out like factors : 2x + 6 = 2 • (x + 3) Equation at the end of step 1 : 2 • (x + 3) > 0 Step 2 : Solve 2•(x+3) > 0 Divide both sides of the ineqaulity by 2 x+3 > 0
anonymous
  • anonymous
Then subtract both sides by 3. =
anonymous
  • anonymous
|dw:1432764749555:dw|
anonymous
  • anonymous
that really helped. thank you for explaining. i understand
anonymous
  • anonymous
Awesome! Try tipping with a medal + fan whenever someone else helps you out. It truly motivates them to help others, too.

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