Answer: choice A
---------------------------------------------------------------------
---------------------------------------------------------------------
Explanation:
The graph shown is the inequality x > 10
So we need to see which answer choice solves to get that inequality.
Let's go through each choice one by one
-------------------
Choice A
x/5 - 6 > -4
x/5 - 6+6 > -4+6
x/5 > 2
5*(x/5) > 5*2
x > 10
So we found the answer on the first try. Let's see what the other answer choices say.
-------------------
Choice B
x/5 - 5 > 45
x/5 - 5+5 > 45+5
x/5 > 50
5*x/5 > 5*50
x > 250
This can be eliminated
-------------------
Choice C
x/5 - 6 < -4
x/5 - 6+6 < -4+6
x/5 < 2
5*x/5 < 5*2
x < 10
This is close to choice A, but the inequality sign has been flipped
This choice can be eliminated
-------------------
Choice D
x/5 + 5 > -45
x/5 + 5-5 > -45-5
x/5 > -50
5*x/5 > 5*(-50)
x > -250
This answer choice can be eliminated
-------------------
Choice A is the only answer.
