Answer:
(3,15)
Step-by-step explanation:
We can try each pair out and see what works.
(0,0)
x = 0, y = 0
0 < |3*0| + 1
0 < |0| + 1
0 < 1
True. The absolute value of 0 is 0, and 0 < 1, so this is true
(2,-9)
x = 2, y = -9
-9 < |3*2| + 1
-9 < |6| + 1
-9 < 6 + 1
-9 < 7
The absolute value of a positive number is positive, and a negative number will always be less than a positive number, so this is true
(3,15)
15 < |3*3|+1
15 < |9|+1
15 < 9+1
15 < 10
False. 15 is not less than 10.
(-4, 12)
12 < |3*(-4)| + 1
12 < |-12| + 1
12 < 12 + 1
12 < 13
True. The absolute value of a negative number is its positive counterpart, and 12 < 13
