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Darya [45]
3 years ago
5

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

Mathematics
1 answer:
qwelly [4]3 years ago
4 0

Answer:

4). y (look at my explanation for how to graph)

5.) y (look at my explanation for how to get the correct numbers)

6.) x\geq 2 (look at my explanation for how to graph)

Step-by-step explanation:

<em><u>Question 4:</u></em>

    <em>Solving for y:</em>

First it's better if you solve for y then graph, it's easier that way.

x-2y>8\\-2y>-x+8\\y

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.

    <em>Graphing the inequality:</em>

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 \frac{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.

<em><u>Question 5:</u></em>

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. Make sure you have the signs correct too don't change the ones I already put in.

<em><u>Question 6:</u></em>

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.

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