Question

Can someone help me with these few problems please!! I would greatly appreciate it!

1.) – 2 ≤ 2x – 4 < 4

2.) 2 r – 8 + 5 r = 10 + r

3.) I will attach this one in the comments.

Answer 1

\[T=\frac{ 3U }{ E } solve for U\]

Answer 2

the 1st one is to find the range of x,right?
lets begin with 2x-4<4
to isolate x,how would u keep only 2x on left side?

Answer 3

do u know how would u isolate x?

Answer 4

Well for the 1st problem, there are no instructions but I can show you what my answer options are?
Ill attach a file of them. It might help better bc I'm lost on how to do them:\

Answer 5

let me do it 4 u :
we have 2x-4<4
now to get only 2x on left i need to remove -4....how would i do that?
by adding 4 to it because -4+4=0
but then i would add 4 on right side also to balance the equation
so i have 2x-4+4<4+4
2x<8
now to get only x,i would divide by 2,like this:
2x/2<8/2
so,x<4
u got this much ??

Answer 6

@hartnn if i were you i;d solve it simultaneously....

Answer 7

if i were i ,i would solve it orally,graph it by imagination only.... :P

Answer 8

u getting what i have done @BarrelRacer_23

Answer 9

Yes I understand that, but now what I dont understand is why in my answer options they have like
\[1\le x <4\]

Answer 10

because,there is also – 2 ≤ 2x – 4 that u need to solve...
– 2 ≤ 2x – 4
so 2x>=-2+4
so 2x>=2
so x>=1
which is on left side

Answer 11

Oh I see...

Answer 12

now will u try 2nd question by yourself?

Answer 13

I will try it

Answer 14

Would I combine 2r+5r+the r one the other side
then combine -8+10?

Answer 15

or am i totally not on the right track?

Answer 16

to combine first u need to bring like terms on same side of = sign...

Answer 17

oh so it would be 7r

Answer 18

yes,and to bring r from right side to left side ,u subtract r from both sides
like this :
7r-r=10+8
note that i have also added 8 on both sides
did u get this ?

Answer 19

and thats done to cancel out the -8 on the left side right?

Answer 20

yes,so that -8+8=0

Answer 21

so do i do that before i subtract r from both sides or after?

Answer 22

that does not matter, in any case u get this
7r-r=10+8
which is 6r=18
from this can u find r?

Answer 23

r=3

Answer 24

very good,u got it :)
r=3 is correct
now i believe u can do 3rd on your own...

Answer 25

Thank you lol!:)
On the 3rd one I know that you have to undo what has been done to the problem but I only have one number?

Answer 26

so what? to isolate U
u multiply by E and divide by 3 and see what u get

Answer 27

But I dont understand... how can you multiply by a letter?

Answer 28

like this :