Question

Which of the following points satisfies the inequality 2x - 3y < 1?



(-2, 1)

(1/2, 0)

(2, -1)

Answer 1

you shift the terms around like with an equasion

-> 2x < 1 + 3y
-> 2x-1 < 3y
-> (2x-1)/3 < y

Now plug in the the first number for each possible answer in x and check whether the inequality is true or not.

Answer 2

its c?

Answer 3

No.. let's calculate

for c) where x = 2 and y = -1 -> (2.2-1)/3 = ? and is ? < -1

try to do the same check for the other 2

Answer 4

the easy way to do this is start with
2x - 3y < 1

test each pair:
replace x with first number in the pair, and y with the second number in the pair.
simplify and see if the number you get is less than 1