The correct option is the second inequality:
2x - 3y < 7
Let's find the inequality:
Here we have a linear inequality, we can see a dashed line, and the region shaded is above the line, then we can write the inequality as:
y > line
y > ax + b
We can see that the line passes through (2, -1) and (5, 1)
Then the slope of the line is:
a = (1 + 1)/(5 - 2) = 2/3
y > (2/3)x + b
To find the value of b, we can replace the point (2, -1) so we get:_
-1 = (2/3)*2 + b
-1 = 4/3 + b
-1 - 4/3 = b
-7/3 = b
The inequality is:
y > (2/3)*x - 7/3
3y > 2x - 7
7 > 2x - 3y