Linear Inequalities in two variables

Front

What type of line is used with the symbols < and >?

Back

Dashed or dotted line.

Front

What type of line is used with the symbols ≤ and ≥?

Back

Solid line.

Front

What does the inequality y ≥ -3/4 x + 3 represent on a graph?

Back

The region above and including the line y = -3/4 x + 3.

Front

Is the point (1, 6) a solution to the inequality y ≤ -3/4 x + 3?

Back

Yes, because when you substitute x=1, y=6 satisfies the inequality.

Front

Choose the correct inequality for the graph that shows a dashed line below the line y = 2x - 3.

Back

y < 2x - 3.

Front

What does a dashed line indicate in a graph of an inequality?

Back

It indicates that the points on the line are not included in the solution set.

Front

What does a solid line indicate in a graph of an inequality?

Back

It indicates that the points on the line are included in the solution set.

Front

If the inequality is y < -2x + 5, what is the region represented on the graph?

Back

The region below the line y = -2x + 5.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality and check if it holds true.

Front

What is the solution set of the inequality y ≥ 3?

Back

All points on or above the horizontal line y = 3.