## anonymous one year ago will give medals but pleaseeee help. Solve for x: 4 − (x + 2) < −3(x + 4) x < −7 x > −7 x < −9 x > −9

1. anonymous

the first one

2. calculusxy

This is basically solving for x in a regular equation. So what you would just do is instead of having the less than symbol, you would place the equal sign.

3. anonymous

@calculusxy wait ill do the work and show you where i am stuck at

4. calculusxy

Okay

5. anonymous

$4-(x+2)<-3x-6$

6. anonymous

@calculusxy ^^^^

7. anonymous

i don't know how to do with the other side do i take away the brackets and flip the sign of 4 to + and add the like terms ?

8. anonymous

after the negative sign there is a 1 so multiply negative one by x and 2

9. anonymous

so it would be -1x -2 ? @joquez14

10. calculusxy

Just like what @joquez14 said. what we can think is that before the parentheses, there is a -1 (negative because of the minus sign). $4-1(x+2) <-3x + 12$ that means that you would have to do $-1 \times x = -x$and $-1 \times 2 = -2$

11. calculusxy

Now we can simplify it even further wit those two terms. $-4 -x-2<-3x-12$

12. calculusxy

Sorry i meant -12 not +12

13. anonymous

okay so we add together -4 and -2 @calculusxy

14. calculusxy

yes to simplify that side

15. calculusxy

combine the like terms to make solving this easier

16. anonymous

okay so we add the x's

17. calculusxy

so this is where you need to really cancel out an x from a side.

18. anonymous

so it would be 6<-2x

19. calculusxy

$-4-x-2=-3x - 12$ $-6 - x=-3x - 12$ $-6 =-2x - 12$

20. calculusxy

yes you're correct

21. anonymous

but then the answer would 4 and none of my answer choices are 4 ? did i do an error ?

22. anonymous

****-3 i mean

23. calculusxy

24. anonymous

they are at the top

25. calculusxy

oh sorry :\

26. anonymous

its not supposed to ve - 2x i thought i think its supposed to be - 4x

27. calculusxy

@joquez14 if we did -3 + 1 it would equal to -2

28. anonymous

yup thats what I'm getting -2

29. anonymous

why you add one x was negative so u souldnt have added an positive 1

30. anonymous

-1x+-3x ? @joquez14

31. anonymous

ohhh -4

32. anonymous

my point exactly

33. anonymous

but how

34. anonymous

aren't you suppose to do the inverse

35. anonymous

im not to sure since were combining like terms

36. anonymous

I wish I could give you all medals. You all have the right idea, it just looks like you got mixed up with the combining 4 − (x + 2) < −3(x + 4) Start by distributing 4 - x - 2 < -3x - 12 Combine like terms on the left 2 - x < -3x - 12 Add 3x to both sides 2 + 2x < -12 Subtract 2 from both sides 2x < -14 Divide both sides by 2 x < -7

37. anonymous

oh yeah ur right

38. anonymous

thank you so much guys literally all of you have been such a tremendous helppppppppp @joquez14 @calculusxy and thanks for clearing it up @peachpi

39. anonymous

np