The graph of the inequality 50x + 75y ≥ 450 is a straight line graph.
The graph of an inequality.
The graph of an inequality is an alternative approach to solve the inequality by finding the set of solution to the inequality on the graph. It also gives a clue about the sign of the inequality such that if a region is shaded it can be deduce that it could be a greater than or equal to sign (≥) or less than or equal to sign (≤).
The boundaries of the graph with greater than or less than is represented with dash lines.
The boundaries of the graph with greater than or equal to or less than or equal to sign is represented with solid lines.
From the information given; we can represent the inequality in a slope-intercept form as:
75y ≥ -50x + 450
Therefore, from the image attached below, we can conclude that the graph of the inequality 50x + 75y ≥ 450 is a straight line graph.