Answer:The inequality is y > 1/2 x - 2Step-by-step explanation:* To solve this problem we must to know how to make an equation of the line from two point- If the line passes through points (x1 , y1) and (x2 , y2)- The form of the equation is y = mx + c, where m is the slope of the line and c is the y-intercept- The rule of the slope is m = (y2 - y1)/(x2 - x1)- The y-intercept means the line intersect the y-axis at point (0 ,c)* Now lets solve the problem- To write the inequality we must to make the equation of the line from any two points on it∵ The line passes through points (4 , 0) and (0 , -2)- Let (4 , 0) is (x1 , y1) and (0 , -2) is (x2 , y2)∵ m = (y2 - y1)/(x2 - x1)∴ m = (-2 - 0)/(0 - 4)∴ m = (-2)/-4 = 1/2- Lets write the form of the equation∵ y = mx + c ⇒ substitute the value of m∴ y = 1/2 x + c- The line intersects the y-axis at point (0 , -2)∴ c = -2∴ y = 1/2 x + -2∴ y = 1/2 x - 2- lets look to the line if it is dashed line then there is no equal with the inequality (> , <) sign, if it is solid line then there is equal with the inequality sign (≥ , ≤)∵ The line is dashed line∴ The sign of inequality is > or <- Lets look to the shaded part, if it is over the line then the inequality will be y > 1/2 x - 2, if it is under the line then the inequality will be y < 1/2 x - 2∵ The shaded part is over the line∴ y > 1/2 x - 2* The inequality is y > 1/2 x - 2