Answer:
(-1, 3), (-5, -5), and (1, 2)
Step-by-step explanation:
To make this easier to solve, simplify the inequality:
12x - 3y < 12
= -3y < -12x + 12 (subtract 12x)
= 3y > 12x - 12 (multiply by -1, switch the inequality because it was a multiplication by a negative number)
= y > 4x - 4 (divide by 3)
Now, just go through each point and see if they are correct after you plug them into the inequality and solve:
(-1, 3): 3 > -8? yes
(-5, -5): -5 > -24? yes
(0, -4): -4 > -4? no
(1, 2): 2 > 0? yes
(4, 4): 4 > 12? no
(3, 8): 8 > 8? no
In conclusion, the points (-1, 3), (-5, -5), and (1, 2) fit the inequality.
