10. Which point is NOT part of the solution of the Inequality y < |3x| + 1? (0,0)
(2,-9)
(3,15)
(-4,12)

(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

step-by-step explanation:

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!