Question

Given: 5x + 3 > 4x + 7.

Choose the graph of the solution set.

Answer 1

Need help? @ashleythho

Answer 2

http://prntscr.com/drjm65
I am assuming that this is the graph that you are referring to :)

Answer 3

In any case, when given an inequality that looks like 5x + 3 > 4x + 7
the first task would always be to "solve" the equation
that is, to get x by itself on one side

Answer 4

if the > is confusing you, you can think of it as a = when you are solving this inequality

I will do it this way
so
5x + 3 = 4x + 7

let's first get all the terms that have an x to one side
soooo
moving 4x from the right side, to the left side means that we should subtract 4x from both sides
5x + 3 = 4x + 7
-4x -4x

Answer 5

from here, in order to get x alone, we want to move 3 to the other side
to do that we would subtract 3 from both sides

x + 3 = 7 becomes
-3 -3
- - - - - - - -
x = 4

Answer 6

now, since at the beginning I had replaced the > with a =
we can put it back in now that we've solved it :)

so we get
x > 4

Answer 7

the > means that (stuff) "Is greater than" (other stuff)

greater than means that it is on the right side on the number line (because the bigger numbers are there

so x > 4
means that it would be shaded to the right of 4