SOLUTION: Name a point(x,y)where it is true that x-y>6 and x>4 what steps do I need to take to find the region of points where x-y>6 and x>4?

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Question 472983: Name a point(x,y)where it is true that x-y>6 and x>4
what steps do I need to take to find the region of points where x-y>6 and x>4?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since x > 4, the value of x must be more than 4.


Now solve for y in x-y > 6 to get

x-y > 6

x > 6+y

x-6 > y

y < x-6


So pick a number greater than 4 (say 10). Plug it into y < x-6 to get


y < x-6

y < 10-6

y < 4


So when x = 10, then y < 4. So all we need to do is pick a y value that is less than 4. So I'm going to pick y = 1.


So one point that lies in this region is (10,1)