Answer:
4).
(look at my explanation for how to graph)
5.)
(look at my explanation for how to get the correct numbers)
6.)
(look at my explanation for how to graph)
Explanation:
Question 4:
Solving for y:
First it's better if you solve for y then graph, it's easier that way.
As you might notice the greater than sign flipped, that doesn't always happen. It only happens when you are dividing by a negative number.
Graphing the inequality:
When you start graphing you should always start by plotting the y-intercept. Which in this case it's
. Then starting from that point you would go up 1 unit then right 2 units then plot the new point because the slope is
. The 1 would be the up and down as for the 2 it will be the right and left. This goes up 1 and right 2 because it's positive. So you keep going creating new points as you go then when you reached the end of the graph you would go back to
and do the opposite so you will do down 1 then left 2. When you run out of room you will have to draw a line, but be careful the line has to be dotted because the solid lines are used for the greater/less than or equal to signs. Then make sure to add arrows at each side of the dotted line to indicate that this line is infinite.
Question 5:
I'm very sorry but I can't see the picture since it's a bit blurry. So I'll try to explain how to write the inequality the best I can. So first we need to know the y-intercept it should be the point directly on the y-axis. Then find the slope by seeing how it gets to the next perfect point. I can tell you that the slope will be positive. Also for the sign it's dotted that means the sign is
. So the inequality should look something like this
. Make sure you have the signs correct too don't change the ones I already put in.
Question 6:
For this one the inequality will look like this
. Then for the graph you will plot
. Then make a solid line that goes vertically since the only x-value is 3 the y-value will be changing without the x. Then for the shading you will shade the right side of the line.