Question

Solve 3(x + 2) > x.

Answer 1

Okay... for the most part, inequalities like > and < behave like equations =.

Let's get down to business.
3(x+2) > x
Could you distribute that 3 over there?

Answer 2

yes

Answer 3

Then please do, and what do you get?

Answer 4

i dont know how to do it lol

Answer 5

Here, an example.

7(2x - 3)
We multiply 7 to BOTH 2x and -3
7 times 2x = 14x
7 times -3 = -21
so... it becomes
7(2x - 3) = 14x - 21


Now you try, with
3(x + 2)

Answer 6

3(x+2) = 3x+6

Answer 7

Very good.
So we have
3x + 6 > x

Now, what do you think we do?
Well, if this were an equation instead
3x + 6 = x
We'd bring that x to the left side, and the 6 to the right, changing their signs in the process.

Well, we can do that with inequalities like > too

So
3x + 6 > x
becomes...?

Answer 8

simple it is like 3(x+2)>x
or,3x+6>x
or,6>x-3x
or,-2x<6
or,-x<3
or,x>-3
so we get.x>-3

Answer 9

not cool @sset terenz had it well in hand

Answer 10

It happens :)
@sset please be a little more gradual in helping
@and_23 did you understand every step of @sset 's solution?