Given:
The equation of the graph is x + y = 500.
The objective is to change the equation as inequality and to choose the correct region for shading.
Explanation:
As the equation is given as x + y = 500, the sum of the values of x and y lies within the 500. As its total sum is also equal to 500, the graph must lie with in the maximum range of 500 that is at A along with solid line. (If sum is not equal to 500, the graph will contain dotted line).
Representation of inequality:
The given equation can be represented in the form of inequality as,
[tex]x+y\le500[/tex]
Graph:
Then, the graph of the inequality will be,
Hence, the inequality is x + y ≤ 500 and the graph contains solid line with shaded region in A.
