Answer:
None
Step-by-step explanation:
We are given that two inequality equations
[tex] y >x [/tex]...(I Equation )
[tex]y < x+1[/tex]...( II equation )
If we substituting the value of point (5,-2) in equation I
x=5, y=-2
Then[tex] -2 \ngtr 5[/tex]
It is not true because a negative number is always smaller than the positive number
So it is not possible for solution of system of inequality .
Now, x=3, y= 1 substituting in equation I
Then , [tex]1\ngrt 3[/tex]
Therefore, the value is not possible and it is not a solution of system of equation.
Now, substituting x=-4,y=2
2 > -4
Therefore, is true for equation I
[tex]2\nless -3[/tex]
It is note true for equation II
Hence, the point (-4, 2 ) is not a solution of system of inequality equation.
x=5, y= -2 substituting in equation I
[tex] -2\ngtr 5[/tex]
It is not true for equation I
Hence, it is not a solution of system of inequality equation.
x=3, y= -1
[tex] -1\ngtr 3[/tex] it is not true for equation I
It is not a solution for system of inequality equations.
x=4,y=-3
It is not true for equation I
Therefore, it is not a solution of system of inequality equations.
x=5,y=-2
It is not true for equation I
Hence, it is not a solution of system of inequalities.
x=3, y=1
Substituting in equation I
[tex] 1\ngtr 3[/tex]
Therefore, it is not a solution of system of inequalties.
From we can see that the graph of two lines do not cut anywhere to each other . Therefore, no point is the solution of system of inequality equations.
Answer : None
