Systems of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are solved together.

Front

What does a dashed line represent in graphing inequalities?

Back

A dashed line indicates that the points on the line are not included in the solution set (for < or > inequalities).

Front

What does a solid line represent in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (for ≤ or ≥ inequalities).

Front

How do you determine where to shade when graphing y < mx + b?

Back

Shade below the line because the inequality indicates that y is less than the value of the line.

Front

How do you determine where to shade when graphing y ≥ mx + b?

Back

Shade above the line because the inequality indicates that y is greater than or equal to the value of the line.

Front

What is the solution to the system of inequalities y < 2x + 3 and y ≥ -x - 1?

Back

Graph both inequalities and find the overlapping shaded region.

Front

What does the symbol '≥' mean in an inequality?

Back

It means 'greater than or equal to', indicating that the value can be equal to or above a certain number.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to', indicating that the value can be equal to or below a certain number.

Front

Which point is a solution to the system of inequalities y < 2x + 3 and y ≥ -x - 1? (1, 2), (0, 0), (3, 5), (2, 1)

Back

(1, 2) is a solution because it satisfies both inequalities.

Front

What is the graphical representation of the inequality y < -2x + 4?

Back

A dashed line with shading below the line.