## anonymous one year ago Solve 3(x + 2) > x. {x | x < -1} {x | x > -1} {x | x < -3} {x | x > -3}

1. anonymous

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

2. anonymous

i dont know how to distribute

3. anonymous

Let me show you:

4. 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

5. anonymous

|dw:1432763780277:dw|

6. anonymous

do i divide both sides by 6 now?

7. anonymous

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

8. anonymous

|dw:1432764029685:dw|

9. anonymous

Now what do you think you should do?

10. anonymous

divide by 3?

11. anonymous

Yes! On both sides.

12. anonymous

|dw:1432764187034:dw|

13. anonymous

Now what do you think you should do?

14. anonymous

subtract 2?

15. 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.

16. anonymous

Try subtracting the x on the right on both sides

17. anonymous

does that give me >-2?

18. anonymous

No, try again

19. anonymous

|dw:1432764486779:dw|

20. anonymous

so i have x>-2+x

21. anonymous

and if i remove x from both sides

22. anonymous

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

23. anonymous

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

24. 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

25. anonymous

Then subtract both sides by 3. =

26. anonymous

|dw:1432764749555:dw|

27. anonymous

that really helped. thank you for explaining. i understand

28. anonymous

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