Respuesta :
1) y < -x + 1
2) y > x
Subtitute the values of the x and y into inequalities
(-3; 5) → x = -3; y = 5
1) 5 < -(-3) + 1 = 3 + 1 = 4 FALSE
(-2; 2) → x = -2; y = 2
1) 2 < -(-2) + 1 = 2 + 1 = 3 TRUE
2) 2 > -2 TRUE
(-1; -3) → x = -1; y = -3
1) -3 < -(-1) + 1 = 1 + 1 = 2 TRUE
2) -3 > -1 FALSE
(0; -1) → x = 0; y = -1
1) -1 < -0 + 1 = 1 TRUE
2) -1 > 0 FALSE
Answer: (-2; 2)
2) y > x
Subtitute the values of the x and y into inequalities
(-3; 5) → x = -3; y = 5
1) 5 < -(-3) + 1 = 3 + 1 = 4 FALSE
(-2; 2) → x = -2; y = 2
1) 2 < -(-2) + 1 = 2 + 1 = 3 TRUE
2) 2 > -2 TRUE
(-1; -3) → x = -1; y = -3
1) -3 < -(-1) + 1 = 1 + 1 = 2 TRUE
2) -3 > -1 FALSE
(0; -1) → x = 0; y = -1
1) -1 < -0 + 1 = 1 TRUE
2) -1 > 0 FALSE
Answer: (-2; 2)