Question

Solve the compound inequality, graph the solution. -2 < (greater or less than) 2x -4 <4

Answer 1

what do you suggest we do first

Answer 2

\[-2\le2x-4<4\] how do we get x by itself

Answer 3

subtract it from both sides?

Answer 4

noo dont bother with the x right now look at whats next to it

Answer 5

(-4)

Answer 6

You asked how to get x by itself

Answer 7

yes but we dont go straight to x we need to get rid of everything around it then deal with the coefficient

Answer 8

So add four to each side

Answer 9

yes

Answer 10

\[2\le2x <8\]

Answer 11

So now its -2 < 2x +8

Answer 12

Nevermind, i wrote it down wrong

Answer 13

Now you add 2 to both sides?

Answer 14

now to isolate x we do the reciprocal of the coefficient

Answer 15

whats the reciprocal of multiplying?

Answer 16

dividing

Answer 17

yes so we divide everything by 2

Answer 18

\[1\le x <8\]

Answer 19

so 1 < x < 4

Answer 20

I divided the 8 by two

Answer 21

\[1\le x <4\]

Answer 22

yes i forgot to divide the 8 when i wrote it

Answer 23

okay

Answer 24

now subrtract the 1?

Answer 25

no that would be the answer

Answer 26

The answer is graphed
I

Answer 27

http://gyazo.com/24f89d4464beb58f0c6d792c63e2f405

Answer 28

yes it's graphed with an inequality which one has our inequality
\[1\le x <4\]

Answer 29

\[\le = closed <=open\]