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just a sec, i'll be right back to help
Ok, thank you so much!
first, identify the lines, ingnoring the inequality. line in #2, identify the line x =0 and the line y = x
ok so its a vertical line? for x=0?
correct and it divides the plane into 2 regions... which region satisfies the inequality x>= 0?
hmm, if it was > or = to wouldn't that mean that it would be shaded on the right side?
correct! now we draw in the line y = x...
|dw:1441217904240:dw| which part satisfies the inequality y <= x?
hmm, I believe it would be on the right side of the line y=x? Since it is < or = to?
|dw:1441218086190:dw| now which region satisfies both of the inequalities?
The section of it on the right side of the x-axis?
Ok thank you, yes it does. So to answer that I would need to put it into a (x, y) form?
no, look at the question... it's asking what region or regions belong to the solution set. the regions are numbered so you must provide all of the numbers that relate to the proper region(s). what number(s) are valid?
any point within the region or regions must satisfy both inequalities.
Oh ok, sorry. So for that I would need to pick a plot and put it into the inequalities like an equation?
no... look at your link! see the numbers on the graph? what shape does number 5 pertain to?
ok, looking. So all of the numbers would have to satisfy both and the ones pictured in the original graph?
|dw:1441218845167:dw|oops, this is the region represented by 5
Ok so it would be all the points inside that section that would represent the region(s)?
yes. is region 5 in the solution set?
No, I am not sure. Would it have to be something like x=5 or in that format? Or would I just simply list region 5? Sorry trying to make sure I understand the whole process.
region 5 represents an infinity of points... you are only supposed to list the numbers of the regions, separated by commas. you need to read and understand the question before you can hope to answer it with any confidence and understanding. the region number is a simple way of identifying all the points within that region. just like California identifies all the points on the globe that are within the region defined as California.
So it would simply be 5? Since it is talking about regions and everything within 5 as you were saying would satisfy the inequalities. I apologize, this is a fairly easy concept I am sure, I just am relatively turned around.
you have to list ALL regions that satisfy the inequalities, separated by a comma. is 5 the ONLY region that satisfies the inequality? if so, then just put 5. If not, then you will have to put 5 and thena comma and then the next number and so on... good luck!
Ok, thank you so much! Medaled and fanned!