Which correctly describes how the graph of the inequality −4y − x ≥ 7 is shaded? (1 point)



Above the solid line

Below the solid line

Above the dashed line

Below the dashed line

Respuesta :

Answer:

The graph of a single linear inequality splits the coordinate plane into two regions. On one side lie all the possible solutions to the inequality. On the other side, there are no solutions. Consider the graph of the inequality y < 2x + 5.

 

 

 

The dashed line is y = 2x + 5. Every ordered pair in the colored area to the right of the line is a solution to y < 2x + 5. Skeptical? Try substituting the x and y coordinates of Points A and B into the inequality—you’ll see that they work.

 

The colored area, the area on the plane that contains all possible solutions to an inequality, is called the bounded region. The line that marks the edge of the bounded area is very logically called the boundary line. In this case, it was dashed because points on the line don’t satisfy the inequality. If they did, as they would have if the inequality had been y ≤ 2x + 5, then the boundary line would have been solid.

 

Let’s clear the grid and graph another inequality: y > -x. This inequality also defines a half-plane. The points M and N are plotted within the bounded region. This means that both points yield true statements when their x and y coordinates are substituted into the inequality y > -x.

 

Answer:

C. Below the solid line

Step-by-step explanation:

I took the test and C is correct

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