Question

Solve for x: 3 − (2x − 5) < −4(x + 2)

x < −8

x > −8

x < −3

x > −3

Answer 1

You want to get x by itself. so multiply -4 through on the right side. and the negative through on the left side

Answer 2

right side is -4x-8 i need help with the left side

Answer 3

that will get you 3-2x+5<-4x-8. then you will need to combine the 3 and 5 on the left side to get -2x+8<-4x-8. from there you just find what x is. do you know how to do that part?

Answer 4

and i need this quickly please i am behined on work

Answer 5

Ok, so the left side think of it like this\[3-1(2x-5)\]Might make it easier. So you would multiply the -1 through

Answer 6

it would be -2x+5

Answer 7

\[-2x+8<-4x-8~~~=~~~-2x+16<-4x~~~=~~~16<-2x~~~=~~~-8<x\]
make sense?

Answer 8

no

Answer 9

how did you get -2x+8?

Answer 10

the original problem was 3 − (2x − 5) < −4(x + 2). if you multiply the negative through, you get 3-2x+5 on the left side. then you take the 3 and the 5 since the don't have a variable and you add them together. that will get you -2x+8.

Answer 11

okay then what next

Answer 12

so you have -2x+8<-4x-8. you need to get rid of the 8 or -8. so we will get rid of -8 since positive numbers are easier to work with. If you add 8 to each side you get -2x+16<-4x. make sense?

Answer 13

yes

Answer 14

Ok. so now we want to move the -2x so we get the x's on the same side. adding 2x to both sides gives us 8<-2x. There is 1 more step. Do you know what it is?

Answer 15

sorry. it's 16<-2x, not 8<-2x

Answer 16

im confused what happened to the -4x

Answer 17

oh never mind i got it

Answer 18

ok. do you see what the answer is?

Answer 19

im done thanks