Question

-2<2x -4 <4
How do I graph this on a number line? By the way, the < has a line under it.

Answer 1

add 4 to each part
divide each part by 2

Answer 2

Do you mean negative two?

Answer 3

no, I mean just by 2.

Answer 4

just follow the steps I suggested (please)

Answer 5

So 1<x<4

Answer 6

yes, there we go !

Answer 7

Do I subtract the 1?

Answer 8

No, you got the answer, you just need to graph it.

When you graph it on the number line, you will draw 2 open dots, one at 1, and the other at 4. (open because 1 and 4 are not part of the solution, right?)
And then connect the 2 dots.

Answer 9

Right, okay, I have another problem like this, will you stay in this so I can work it out with you?

Answer 10

yes, sure

Answer 11

6x - 4 < -34 or 3x +10 > 10
Why does it say or?!

Answer 12

As in, I pick one to work out? Or do both?

Answer 13

it probably means that it is just in one question.

Answer 14

work both, one by one.

Answer 15

Let start from \(\normalsize\color{blue}{ 6x - 4 < -34\LARGE\color{white}{ \rm │ }}\) .

Answer 16

http://gyazo.com/ba7aa9b534fbe4742fc798fd6e94288b here is a screencap of it btw, and okay

Answer 17

okay, so can you just solve the \(\normalsize\color{black}{ 6x - 4 < -34\LARGE\color{white}{ \rm │ }}\) ?

Answer 18

so now its 6x<-30

Answer 19

It says `or` (by the way) because the 2 equations are one graph on the number line.

That is correct for the first step, now.. divide both sides by 6.

Answer 20

So x < 5

Answer 21

So is that the solution?

Answer 22

no close, x<-5

Answer 23

see why ?

Answer 24

ah, my mistake. Because the 30 was negative.

Answer 25

yes, right... and we get x<-5

Now, can you please work the \(\normalsize\color{blue}{ 3x +10 > 10 \LARGE\color{white}{ \rm │ }}\) ?

Answer 26

no solution?

Answer 27

X>0 ?

Answer 28

yes

Answer 29

Do you know how to do absolute value equations?

Answer 30

any x-value that is more than zero will make `3x` (also) be more than zero, and thus the right side will be more than 10.

But if x is a zero, then you get 10>10 right? and this is FALSE

and certainly if x is less than a zero i.e. a negative number.

Answer 31

Yes.. hopefully :)

Answer 32

http://gyazo.com/263afbec7b48b064737015c5e58c72e7

Answer 33

or would you rather me type it

Answer 34

\(\normalsize\color{blue}{ 2│3x-5│-8=8\LARGE\color{white}{ \rm │ }}\)

Answer 35

\(\normalsize\color{blue}{ 2│3x-5│-8=8\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ 2│3x-5│-8\color{magenta}{+8}=8\color{magenta}{+8}\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ 2│3x-5│=16\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ 2│3x-5│\color{green}{\div 2}=16\color{green}{\div 2}\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{ │3x-5│=8\LARGE\color{white}{ \rm │ }}\)

\(\normalsize\color{blue}{ 3x-5=8~~~~~~~~~or~~~~~~~3x-5=-8\LARGE\color{white}{ \rm │ }}\)

Answer 36

you can do it from here.

Answer 37

Yeah I did that then I got 3x-5=8
add the 5,
so 3x=13
but
I dont know what to do with that because you cant divide 13 by 3.

Answer 38

you CAN divide 13 by 3, and you can write the answer either as a fraction, or as a decimal.

I recommend to do it as a fraction, so that it will be exact.

Answer 39

is it 4 1/3
or 4.33?

Answer 40

?

Answer 41

So x=13/3 or x=4 1/13
(improper fraction) (mixed number)