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15 points!!! HELP. 4 Graph x - 2y > 8

5 Write an inequality for the graph shown.
Inequality
6 All values are greater than or equal to two. Write this statement as an inequality and
represent it on the graph
Inequality

15 points!!! HELP. 4 Graph x - 2y > 8 5 Write an inequality for the graph shown-example-1

1 Answer

6 votes

Answer:

4).
y<(1)/(2)x-4 (look at my explanation for how to graph)

5.)
y<(?)/(?)x+? (look at my explanation for how to get the correct numbers)

6.)
x\geq 2 (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.


x-2y>8\\-2y>-x+8\\y<(1)/(2)x-4

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
(0,-4). Then starting from that point you would go up 1 unit then right 2 units then plot the new point because the slope is
(1)/(2). 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
(0,-4) 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
y<(?)/(?)x+?. 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
x\geq 2. Then for the graph you will plot
(2,0). 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.

User Marc Wittmann
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