System of Inequalities Review

Front

What does the inequality y < 4x + 3 indicate about the shading on a graph?

Back

The shading should be below the line represented by the equation y = 4x + 3.

Front

What type of line is used for inequalities that include < or >?

Back

A dashed line is used for inequalities that include < or >.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality in the system. If it satisfies all inequalities, it is a solution.

Front

What does the inequality y > 2x - 4 represent in terms of shading on a graph?

Back

The shading should be above the line represented by the equation y = 2x - 4.

Front

What is the significance of a dashed line in graphing inequalities?

Back

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

Front

What does the term 'system of inequalities' refer to?

Back

A system of inequalities is a set of two or more inequalities with the same variables.

Front

How can you tell if a point (3, -4) is a solution to the system y > 2x - 4 and y < 2?

Back

Substituting (3, -4) into both inequalities shows it does not satisfy them, so it is not a solution.

Front

What does the inequality y < 2x + 3 imply about the relationship between y and 2x + 3?

Back

It implies that y is less than 2x + 3 for all points in the solution set.

Front

What is the graphical representation of the inequality y ≤ 2x + 3?

Back

The graph includes a solid line for y = 2x + 3 and shading below the line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set, while a dashed line indicates they are not.