Question

Write the inequality shown by the shaded region in the graph with the boundary line −5x+2y=−2

Answer 1

Explanation:

The boundary line of the shaded region in the graph, which is represented by the equation -5x + 2y = -2, can be used to write the inequality that represents the shaded region. To do this, we first need to determine which side of the boundary line the shaded region is on.

If the shaded region is on the same side of the line as the open half-plane that contains the y-axis, then the inequality is given by:

-5x + 2y > -2

If the shaded region is on the same side of the line as the closed half-plane that does not contain the y-axis, then the inequality is given by:

-5x + 2y ≥ -2

So, the inequality that represents the shaded region depends on the specific context and requirements of the problem, as well as the interpretation of the graph.