Is the answer 0 < x < 2?

yes! well done! would you mind explaining? Many thanks!

vanesslondon wrote:'solve the following inequality for x'

6>x+4>4

With one big exception, we manipulate inequalities just like equations. It doesn't matter how many different pieces there are to the inequality.

Here, we want to solve for x.

Right now, we have x + 4... so, to get x by itself, we subtract 4 from all 3 parts of the inequality to get:

6 - 4 > x + 4 - 4 > 4 - 4

or

2 > x > 0

all done!

Thanks, Stuart, I so appreciate it! This was driving me mad!
I kept trying to get the answer by subtracting 4 from just one of the sides.
I am SO relieved - you know when a question won't let you go? Thank you!

Sorry - one last thing:

do we still do the same thing to all parts of the equation, even if that entity isn't present in one part? By which I mean, if we have

2x>x>4

if we minus x, do we get

x>4-x

?

I just made up that question - completely hypothetical! Thank you!

Sorry - one last thing:

do we still do the same thing to all parts of the equation, even if that entity isn't present in one part? By which I mean, if we have

2x>x>4

if we minus x, do we get

x>4-x

?

I just made up that question - completely hypothetical! Thank you!

vanesslondon wrote:Sorry - one last thing:

do we still do the same thing to all parts of the equation, even if that entity isn't present in one part? By which I mean, if we have

2x>x>4

if we minus x, do we get

x>4-x

2x > x > 4

if we subtract x from all 3 parts we get

2x - x > x - x > 4 - x

or

x > 0 > 4 - x

thank you, Stuart!

another way of looking at it.

6>x+4>4

this means that, if you substitute the value for x as 1 after looking at it more closely.

6 > 1+4 > 4 which is 6>5>4

also if you substitute 0<x<2 which is 0<1<2.