Math help please!?

Question

I posted this before but it was to confusing. Ok what I need to do is determine the solutions for each of the following. Then graph the solutions on a number line. (The lesson is based on solving equations with Powers and Roots). I am so lost and so confused. Please help with the graph too. Thanks!!

1. x =5
2. y=2
3. x < 4
4. y >6

Answer 1

if i recall, when graphing equations, you simply plug several numbers in until you can determine the shape. But for these, i don't think you have to do that much.

X=5 will be a vertical line crossing X=5 (it doesn't matter where on the Y axis you go, X always is 5)

Y=2 will be a horizontal line through Y=2 (no matter what X is, Y always is 2)

X<4, starts with X=4, which is a vertical line through X=4 (i beleive you make it dotted since X is less, not less than or equal to). Then the whole region to the left (less than 4 is shaded).

Similar for Y>6. start with Y=6, then shade the approptiate region.

Answer 2

Make a big plus sign. That is the basic graph you need to start with.

+

The horizontal line, which up and down is the Y

The vertical line, which goes right and left is X

Where the lines meet right in the middle is the 0 Starting point for for both lines.

The first two are easy just on each line plot little lines signifying
1, 2 , 4, 5, 6, 7. For X on ther right, for Y above 0.

You will not need it here but you remember the left for X is the same numbers but they are negative -1, -2, -3 etc. For Y the negative numbers are below 0. But again this is FYI. You will not need that here.

Now for X=5 using the line for X on the right side count to 5 and put a dark dot there. There draw a horizontal line

Y=2 on the top side count to two put a dark dot there. Now there draw a vertical line.

The last two I am vague on but X<4 count to four on the right side of X. Instead of a dark circle just draw a plain circle. Hallow.

X is allows <4. Just draw a horizontal line there. But I think you have to shade in the left side of that graph to signify less than 4

For Graphing
For Y>6. Count to six above the 0 starting point. At six draw a hallow circle. At that point draw a vertical line. But I think you have to shade below the line to signify Y is more than 6.

Answer 3

The equation x=5 will just be a straight line down on the number line where the x axis goes horizontal and the y axis goes vertical

The equation y=2 will just be a straight line across the y axis

The equation x<4 is an inequality so it must be put in term "x=4" where y is 0 so this agian is another straight line down on the x axis where x is 4 and y could be any number from 0 upwards.

The equation y>

Answer 4

I still wonder if your question is being misinterpreted.
Do you want the solutions on a number line
(one dimensional) or in the plane, as all the answers
suggest?
Since you said you want the solutions on a
number line, I'll answer the questions that way.
1. x=5. It's just that. The point x = 5.
2. y = 2. The same. One point: y = 2.
3. x < 4. All the number line to the left of the point x = 4.
4. y > 6. All the number line to the right of the point y = 6.
Again, please let us know what you really need here.

Answer 5

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Answer 6

the x=.. means you need to put a little x on the axis going either going sideways or downwards (check your graph) and the same for the y

Answer 7

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