Question

will give medals but pleaseeee help.
Solve for x: 4 − (x + 2) < −3(x + 4)

x < −7
x > −7
x < −9
x > −9

Answer 1

the first one

Answer 2

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.

Answer 3

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

Answer 4

Okay

Answer 5

\[ 4-(x+2)<-3x-6\]

Answer 6

@calculusxy ^^^^

Answer 7

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 ?

Answer 8

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

Answer 9

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

Answer 10

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 \[-1 \times 2 = -2\]

Answer 11

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

Answer 12

Sorry i meant -12 not +12

Answer 13

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

Answer 14

yes to simplify that side

Answer 15

combine the like terms to make solving this easier

Answer 16

okay so we add the x's

Answer 17

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

Answer 18

so it would be 6<-2x

Answer 19

\[-4-x-2=-3x - 12\]
\[-6 - x=-3x - 12\]
\[-6 =-2x - 12\]

Answer 20

yes you're correct

Answer 21

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

Answer 22

****-3 i mean

Answer 23

what are your answer choices then?

Answer 24

they are at the top

Answer 25

oh sorry :\

Answer 26

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

Answer 27

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

Answer 28

yup thats what I'm getting -2

Answer 29

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

Answer 30

-1x+-3x ? @joquez14

Answer 31

ohhh -4

Answer 32

my point exactly

Answer 33

but how

Answer 34

aren't you suppose to do the inverse

Answer 35

im not to sure since were combining like terms

Answer 36

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

Answer 37

oh yeah ur right

Answer 38

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

Answer 39

np