A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Solve 3(x + 2) > x. {x | x < -1} {x | x > -1} {x | x < -3} {x | x > -3}

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Well, first distribute the left side to get rid of the parenthesis

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i dont know how to distribute

  3. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Let me show you:

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[3\left( x+2 \right)>x\] 3x+6>x 3x+6-x>x-x 2x+6>0 subtract 6 from both sides and then divide by 2

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1432763780277:dw|

  6. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do i divide both sides by 6 now?

  7. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hmm, close, try *subtracting* both sides by 6.

  8. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1432764029685:dw|

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now what do you think you should do?

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    divide by 3?

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes! On both sides.

  12. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1432764187034:dw|

  13. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now what do you think you should do?

  14. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    subtract 2?

  15. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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.

  16. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Try subtracting the x on the right on both sides

  17. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    does that give me >-2?

  18. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    No, try again

  19. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1432764486779:dw|

  20. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so i have x>-2+x

  21. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and if i remove x from both sides

  22. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Yes, but I believe I did something wrong. Let me solve this on my own. I apologize

  23. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I got x > -3. Let me show you.

  24. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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

  25. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Then subtract both sides by 3. =

  26. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    |dw:1432764749555:dw|

  27. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that really helped. thank you for explaining. i understand

  28. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Awesome! Try tipping with a medal + fan whenever someone else helps you out. It truly motivates them to help others, too.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.