Linear Inequalities

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

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

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

Back

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

Front

When graphing a linear inequality, what type of line is used for '>' or '<'?

Back

A dashed line is used for '>' or '<' to indicate that points on the line are not included in the solution set.

Front

When graphing a linear inequality, what type of line is used for '≥' or '≤'?

Back

A solid line is used for '≥' or '≤' to indicate that points on the line are included in the solution set.

Front

What is the solution set of a linear inequality?

Back

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

Front

How do you determine if a point is in the solution set of a linear inequality?

Back

To determine if a point is in the solution set, substitute the point's coordinates into the inequality and check if the statement is true.

Front

What does shading above the line indicate in a graph of a linear inequality?

Back

Shading above the line indicates that the solution set includes all points where the y-value is greater than the line's value.

Front

What does shading below the line indicate in a graph of a linear inequality?

Back

Shading below the line indicates that the solution set includes all points where the y-value is less than the line's value.

Front

If the inequality is y < 2x + 3, what type of line and shading would be used?

Back

A dashed line with shading below the line would be used.