Answer:
(-1,3) is a SOLUTION Of the inequality y > 4 x - 9.
(0,-9) is NOT a SOLUTION Of the inequality y > 4 x - 9.
(1,0) is a SOLUTION Of the inequality y > 4 x - 9.
(2,1) is a SOLUTION Of the inequality y > 4 x - 9.
Explanation:
Here, the given inequality is: y > 4 x - 9
Now, to show if the ordered pair are solutions, SUBSTITUTE each pair in the equation:
(a) (-1,3)
Here, substitute x = -1 and y = 3 in y > 4 x - 9
We get: 3 > 4(-1) - 9
or, 3 > -13 ( THIS INEQUALITY is TRUE)
⇒ (-1,3) is a SOLUTION Of the inequality y > 4 x - 9.
(b) (0,-9)
Here, substitute x = 0 and y = -9 in y > 4 x - 9
We get: -9 > 4(0) - 9
or, -9 > -9 ( THIS INEQUALITY is NOT TRUE)
⇒ (0,-9) is NOT a SOLUTION Of the inequality y > 4 x - 9.
(c) (1,0)
Here, substitute x = 1 and y = 0 in y > 4 x - 9
We get: 0 > 4(1) - 9
or, 0 > -5 ( THIS INEQUALITY is TRUE)
⇒ (1,0) is a SOLUTION Of the inequality y > 4 x - 9.
(d) (2,1)
Here, substitute x = 2 and y = 1 in y > 4 x - 9
We get: 1 > 4(2) - 9
or, 1 > -1 ( THIS INEQUALITY is TRUE)
⇒ (2,1) is a SOLUTION Of the inequality y > 4 x - 9.