Question

Which point is part of the solution of the inequality y>|2x-1|
a. (3,2)
b. (1,0)
c. (0,0)
d. (1,1)

Answer 1

What do you think it is?

Answer 2

well, test them around
let's try say the 1st choice
(3,2) => x = 3 y = 2
so
y > | 2x -1 | => (2) > | 2(3) -1 |

2 > | 6 - 1 | => 2 > | 5 | => 2 > 5 # now, is 2 really bigger than 5? well no
thus this option is false, thus is not a solution

test the others, see which one gives you a valid inequality

Answer 3

a valid value will give TRUE per se, something TRUE will be something like say

2 < 5 because 2 is really smaller than 5
3 > 1 because 3 is really greater than 1
-5 < -2 because -5 is really less than -2, recall on the negative side
the closer to 0, the bigger