sdlife wrote:
amanvermagmat wrote:
They can provide better explanation but I will try. So you have drawn a line of x/2 = y - 1. The other line you should also draw is x = y (or y = x). Why you may ask? Because the question asks you whether x is > y or not? Once you have the line y = x on the graph (it will be a line with positive slope of 1 passing through origin inclined at 45 degrees with x axis), you can see that:- the area on graph below this line y=x will be the area where x > y and the area on the graph above this line y=x will be the area where x y or not.
amanvermagmat Thanks a ton for your response. I do understand the solution now. A couple questions if you don't mind answering:
1) How did you think of drawing a line x=y for this question? One clue maybe since it was asked if x>y? But I couldn't even think of it. Any tips on how to solve these type of problems?
2) Probably a dumb question. How do decide that the side above the line y=x will have y>x, while below is x<y?
Thank you very much for your help!
Hi
I dont mind answering any questions, as far as I know their answers
1) Yes, you are right. I thought of drawing x=y because I got the clue from x > y (which the question was asking). As you understand more about graphs, I am sure you will get better in these.
2) Once you plot the line y=x, I am sure you would agree that on one side of it, x > y and on another side of it x < y. How to check which is which? Just take any one point from any one side of the line, and see whether it fits in x > y or x < y. Eg., here you have the line y=x with you. Now on the right side of this line (or below) lets choose a point (3,-1). The x-coordinate of the point is 3, and y coordinate is -1, and its clear that here x > y. So no need to check further, we can be sure that on the right side of the line x=y, all points will have x > y. This means automatically on the left side of the line (or you can say above the line), all points will have x < y (or you could check with any point above the line x=y, and you will find that x < y.