Question

Which of the following points are solutions to system of inequalities shown below? 

y<x, y>5, x>2

A.(9,7) B.(7,5) C.(-3,8) D.(3,2) E.(8,6) F.(6,6)

Answer 1

y < x; y > 5; x > 2

A. (9; 7) → x = 9; y = 7

y < x → 7 < 9 TRUE

y > 5 → 7 > 5 TRUE

x > 2 → 9 > 2 TRUE

B. (7; 5) → x = 7; y = 5

y > 5 → 5 > 5 FALSE

C. (-3; 8) → x = -3; y = 8

y < x → 8 < -3 FALSE

D. (3; 2) → x = 3; y = 2

y > 5 → 2 > 5 FALSE

E. (8; 6) → x = 8; y = 6

y < x → 6 < 8 TRUE

y > 5 → 6 > 5 TRUE

x > 2 → 8 > 2 TRUE

F. (6; 6) → x = 6; y= 6

y < x → 6 < 6 FALSE

Answer: A. (9; 7) and E. (8; 6)