There might be a simpler way to do this, if there is, sorry.
If you look at the graph, x is greater than 3 but less than 5.
So: x > 3 and x < 5
I would simplify each solution set and get "x" by itself (until I get the right answer):
A.) 2x - 4 > 6 or 3x < 9
2x - 4 > 6 Add 4 on both sides
2x > 10 Divide 2 on both sides
x > 5 (you could stop here and go to the next choice since you know this does not match the graph)
3x < 9 Divide 3 on both sides
x < 3
x > 5 and x < 3
B.) 2x - 4 < 6 and 3x > 9
x < 5 and x > 3
Your answer is B or the 2nd option
[C and D would have given a negative number]
