TEST Linear Inequalities & Systems of Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).

Front

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

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either greater than or equal to the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left is either less than or equal to the value on the right.

Front

What type of line is used to represent '≥' or '≤' in a graph?

Back

A solid line is used to represent '≥' or '≤' in a graph.

Front

What type of line is used to represent '<' or '>' in a graph?

Back

A dashed line is used to represent '<' or '>' in a graph.

Front

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

Back

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

Front

What is the solution set of a linear inequality?

Back

The solution set of a linear inequality is the set of all points that satisfy the inequality, often represented as a shaded region on a graph.

Front

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

Back

A linear equation has an equal sign and represents a straight line, while a linear inequality uses inequality symbols and represents a region of the graph.

Front

What does it mean if a point lies on the boundary line of an inequality?

Back

If a point lies on the boundary line of an inequality, it is included in the solution set if the inequality is '≥' or '≤', but not if it is '<' or '>'.

Front

How can you graph the inequality x < 3?

Back

To graph x < 3, draw a dashed vertical line at x = 3 and shade to the left of the line.