Linear Inequalities and Systems of Linear Inequalities Check

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 such as <, >, ≤, or ≥.

Front

How do you represent a linear inequality in two variables?

Back

Front

What does the solution set of a linear inequality represent?

Back

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

Front

What is the difference between a solid line and a dashed line when graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution set (≥ or ≤), while a dashed line indicates that points on the line are not included (> or <).

Front

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

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

Back

Front

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

Back

A system of inequalities is consistent if there is at least one solution that satisfies all inequalities in the system.

Front

What is the significance of the boundary line in a linear inequality?

Back

The boundary line separates the coordinate plane into two regions: one that satisfies the inequality and one that does not.

Front

How can you find the solution set for a system of linear inequalities?

Back

To find the solution set, graph each inequality on the same coordinate plane and identify the overlapping region that satisfies all inequalities.

Front

Back