The point (3 , -2) is a solution to the given linear inequality.
What is a linear inequality?
A polynomial of degree 1 is compared against another algebraic expression of degree less than or equal to 1 in an linear inequality, which is an inequality involving at least one linear algebraic expression.
The shaded area in the given graph is representing the solution set for the given inequality in the question, for a point to be a solution for this inequality the point has to lie inside the shaded area, because the linear inequality y < (-1/2)x + 2 has a ' < ' inequality and not a ' ≤ ' inequality, hence all the points which are lying on the line y = (-1/2)x + 2 will not be considered in the solution set.
Hence, the point which is a solution for the given inequality is (3 , -2).
Learn more about linear inequalities on:
https://brainly.com/question/18881247
#SPJ2
