Answer: (3, -10)
Step-by-step explanation:
The given inequality : [tex]x - y > 0[/tex]
Lets check all points to see which point satisfy this inequality.
For (-2, 1) , put x= -2 and y= 1 , we get
[tex]-2 - 1 > 0[/tex]
[tex]\Rightarrow\ -3 > 0[/tex] , which is not true.
For (4, 9) , put x= 4 and y=9 , we get
[tex]4-9 > 0[/tex]
[tex]\Rightarrow\ -5 > 0[/tex] , which is not true.
For (3, -10) , put x= 3 and y=10 , we get
[tex]3-(-10) > 0[/tex]
[tex]\Rightarrow\ 3+10 > 0[/tex]
[tex]\Rightarrow\ 13 > 0[/tex] , which is true.
For (3, 3) , put x= 3 and y=3 , we get
[tex]3-3 > 0[/tex]
[tex]\Rightarrow\ -0 > 0[/tex] , which is impossible.
Hence, point (3, -10) satisfies the given inequality x - y > 0 .
