Question

The boundary line on the graph represents the equation 5x + 2y = 6. Write an

inequality that is represented by the graph.
-4
-2
O
-2

Answer 1

The inequality representing the shaded area is y < 3 - 2.5·x

Explanation:

The given equation of the graph is 5·x + 2·y = 6

Therefore, we have;

2·y = 6 - 5·x

y = 6/2 - 5/2·x

y = 3 - 2.5·x

Given that the graph is represented by a shaded region on the left and lower side of a broken line, the inequality relationship for the graph is that of a lesser than area inequality with a symbol of < and the inequality for the graph can be represented as follows,

y < 3 - 2.5·x.