Question

Choose the ordered pair(s) that is a solution of the inequality statement. Select all that apply. y < |-x| - 4

(5, -5)
(0, -4)
(1, -3)
(-5, -9)
(-1, 2)
(2, -4)

Answer 1

y < |- x| - 4. Plug in to verify the inequality.

1st) (5 , - 5) → -5 < | - 5| - 4 | ↔ -5 < 5 - 4 ↔ - 5< 1 RIGHT

2nd) (0 , - 4) → -4 < | - 0| - 4 | ↔ -4 < 0 - 4 ↔ - 4< -4 WRONG

3rd) (1 , - 3) → -3 < | - 1| - 4 | ↔ -3 < 1 - 4 ↔ - 3< -3 WRONG

4th) (-5 , - 9) → -9 < | - 5| - 4 | ↔ -9 < 5 - 4 ↔ - 9< 1 RIGHT

5th) (-1 , 2) → 2 < | - 1| - 4 | ↔ 2 < 1 - 4 ↔ - 2< -3 WRONG

6th) (2 , - 4) → -4 < | - 2| - 4 | ↔ -4 < 2 - 4 ↔ - 4<-2 RIGHT