Graphing 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 (e.g., <, >, ≤, ≥).

Front

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

Back

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

Front

What does the symbol '≥' indicate in a linear inequality?

Back

The symbol '≥' indicates that the value on the left is greater than or equal to the value on the right.

Front

How do you graph a linear inequality?

Back

1. Graph the corresponding linear equation as a dashed or solid line. 2. Shade the appropriate region based on the inequality.

Front

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

Back

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

Front

What does it mean if a point is a solution to a linear inequality?

Back

A point is a solution if it satisfies the inequality when substituted into the expression.

Front

How can you determine if a point is a solution to an inequality?

Back

Substitute the coordinates of the point into the inequality and check if the statement is true.

Front

What is the graphical representation of the inequality y < 2x + 3?

Back

The graph will have a dashed line for y = 2x + 3 and the area below the line will be shaded.

Front

What does shading above a line in a graph indicate?

Back

Shading above a line indicates that the solutions to the inequality are greater than the line's value.

Front

What does shading below a line in a graph indicate?

Back

Shading below a line indicates that the solutions to the inequality are less than the line's value.