Answer:
(1,1)
Step-by-step explanation:
we have
[tex]y > \frac{3}{5}x-2[/tex]
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
Verify each ordered pair
case A) we have
(5,0)
Substitute the value of x and y in the inequality
[tex]0 > \frac{3}{5}(5)-2[/tex]
[tex]0 > 1[/tex] ----> is not true
therefore
The ordered pair is not solution to the inequality
case B) we have
(0,-2)
Substitute the value of x and y in the inequality
[tex]-2 > \frac{3}{5}(0)-2[/tex]
[tex]-2 > -2[/tex] ----> is not true
therefore
The ordered pair is not solution to the inequality
case C) we have
(1,1)
Substitute the value of x and y in the inequality
[tex]1 > \frac{3}{5}(1)-2[/tex]
[tex]1 > -\frac{7}{5}[/tex] ----> is true
therefore
The ordered pair is a solution to the inequality
case D) we have
(-5,-6)
Substitute the value of x and y in the inequality
[tex]-6 > \frac{3}{5}(-5)-2[/tex]
[tex]-6 > -5[/tex] ----> is not true
therefore
The ordered pair is not solution to the inequality
