12.18.2024 Exit Ticket: Systems of Inequalities day 1

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the set of all points that satisfy all inequalities in the system.

Tags

CCSS.HSA.REI.D.12

Front

What does it mean for a point to be a solution to a system of inequalities?

Back

A point is a solution to a system of inequalities if it satisfies all the inequalities in the system when substituted into them.

Front

Which symbols indicate a solid line when graphing inequalities?

Back

The symbols ≤ (less than or equal to) and ≥ (greater than or equal to) indicate a solid line when graphing.

Tags

CCSS.HSA.REI.D.12

Front

What does a dashed line represent in graphing inequalities?

Back

A dashed line represents that the points on the line are not included in the solution set, used for < (less than) and > (greater than) inequalities.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the graphical representation of the inequality y < 3?

Back

The area below the horizontal line y = 3, with a dashed line indicating that points on the line are not included.

Tags

CCSS.HSA.REI.D.12

Front

What is the difference between a solution to an inequality and a solution to an equation?

Back

A solution to an inequality is a range of values that satisfy the inequality, while a solution to an equation is a specific value that makes the equation true.

Front

How can you check if a point is not a solution to a system of inequalities?

Back

Substitute the point into each inequality. If it fails to satisfy any of the inequalities, it is not a solution.

Front

What does the solution set of a system of inequalities look like?

Back

The solution set is typically represented as a shaded region on a graph, indicating all the points that satisfy the inequalities.

Tags

CCSS.HSA.REI.D.12

Front

What is the significance of the boundary line in a system of inequalities?

Back

The boundary line helps to define the regions of the graph where the inequalities hold true, separating solutions from non-solutions.

Tags

CCSS.HSA.REI.D.12