Question

The graph of a linear inequality in two variables is the __________ containing all of its solutions.

Answer 1

Answer:

half-plane

Step-by-step explanation:

To draw the line of a linear inequality, we are going to draw a line that divides the coordinate plane into two parts.

Now, while the solution of the inequality lies on a part of the line, the second part of the line does not represent this solution.

Hence, we have a division into two planes. The shaded plane will represent solution to the inequality while the unshaded part will represent the part that is not a solution.

This depends on the sign of the inequality that is present .