Graphing System of Inequalities

Front

What is a system of inequalities?

Back

A set of two or more inequalities with the same variables that are graphed on the same coordinate plane.

Front

What does the symbol '≤' represent?

Back

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

Front

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

Back

Substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

Front

What is the solution set of a system of inequalities?

Back

The set of all points that satisfy all inequalities in the system, often represented as a shaded region on a graph.

Front

What does the symbol '>' indicate in inequalities?

Back

It means 'greater than', indicating that the value must be strictly greater than a certain number.

Front

How do you graph the inequality y ≤ 3x?

Back

Graph the line y = 3x as a solid line and shade below the line to represent all points where y is less than or equal to 3x.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the boundary), while '≥' means greater than or equal to (including the boundary).

Front

What does it mean for a solution to be 'not exceeding'?

Back

It means the value cannot be greater than a specified limit, often represented by the symbol '≤'.

Front

How do you find the intersection of two inequalities?

Back

Graph both inequalities on the same coordinate plane and identify the region where the shaded areas overlap.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a coordinate plane.