AFDA Linear Inequalities and Systems of Linear Inequalities

Front

What does a solid line indicate in a linear inequality graph?

Back

A solid line indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to' (≥ or ≤).

Front

What does a dashed line indicate in a linear inequality graph?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning the symbol is either 'greater than' (>) or 'less than' (<).

Front

How can you determine if a point is part of the solution set for an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What is the solution set of an inequality?

Back

The solution set is the set of all points (x, y) that satisfy the inequality.

Front

What is the graphical representation of a system of linear inequalities?

Back

The graphical representation is the overlapping region of the graphs of the individual inequalities.

Front

How do you graph the inequality y < 2x - 4?

Back

Graph the line y = 2x - 4 as a dashed line and shade below the line to represent all points where y is less than 2x - 4.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation represents a straight line, while a linear inequality represents a region of the graph where the inequality holds true.

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the boundary line is included in the solution.

Front

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

Back

The symbol '≤' means 'less than or equal to', indicating that the boundary line is included in the solution.

Front

How do you find the intersection of two linear inequalities?

Back

Graph both inequalities and identify the region where they overlap; this overlapping region represents the intersection.