System of Inequalities

Front

What does the inequality x > 8 represent in a real-world context?

Back

It represents a situation where the quantity x is greater than 8, such as having more than 8 slices of pizza.

Front

What does it mean if two lines in a system of linear equations intersect?

Back

It means that the system has one unique solution, where the two lines meet at a single point.

Front

Identify the ordered pair that is a solution to the system of inequalities: (4, 0), (3, -5), (0, 4), (-5, 3).

Back

(4, 0) is a solution to the system.

Front

What is a solution of a system of linear equations?

Back

An ordered pair (x,y) that satisfies all equations in the system.

Front

If Anna had less than 30 cookies and ate 12, how can we express this situation mathematically?

Back

x + 12 < 30, where x is the initial number of cookies.

Front

What is a system of inequalities?

Back

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

Front

How do you graph a system of inequalities?

Back

Graph each inequality on the same coordinate plane and identify the overlapping region.

Front

What does it mean if a system of linear equations has no solution?

Back

It means the lines are parallel and never intersect.

Front

What is the graphical representation of a solution to a system of inequalities?

Back

The solution is represented by the shaded region where all inequalities overlap.

Front

What is the difference between a system of equations and a system of inequalities?

Back

A system of equations has exact solutions, while a system of inequalities has a range of solutions.