*U3L15-18 Linear 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 (such as <, >, ≤, or ≥).

Front

How do you write a linear inequality in standard form?

Back

A linear inequality in standard form is typically written as Ax + By < C, Ax + By > C, Ax + By ≤ C, or Ax + By ≥ C, where A, B, and C are constants.

Front

What does the symbol '<' represent in a linear inequality?

Back

The symbol '<' indicates that the expression on the left is less than the expression on the right.

Front

What does the symbol '≤' represent in a linear inequality?

Back

The symbol '≤' indicates that the expression on the left is less than or equal to the expression on the right.

Front

What does a solid line represent in the graph of a linear inequality?

Back

A solid line indicates that the points on the line are included in the solution set.

Front

What does a dashed line represent in the graph of a linear inequality?

Back

A dashed line indicates that the points on the line are not included in the solution set.

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 into the inequality. If the inequality holds true, the point is a solution.

Front

What is the feasible region in the context of linear inequalities?

Back

The feasible region is the area on a graph that satisfies all the inequalities in a system, representing all possible solutions.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding linear equation as a line (solid or dashed), then shade the region that satisfies the inequality.

Front

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

Back

The boundary line separates the solution set from the non-solution set in the graph of a linear inequality.