Linear Inequalities Day 1

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 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 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 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 with a '<' or '>' symbol?

Back

You use a dashed line to represent the boundary, indicating that points on the line are not included in the solution set.

Front

How do you graph a linear inequality with a '≤' or '≥' symbol?

Back

You use a solid line to represent the boundary, indicating that points on the line are included in the solution set.

Front

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

Back

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

Front

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

Back

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

Front

In the inequality y < 2x + 3, what does the '2' represent?

Back

The '2' represents the slope of the line, indicating how steep the line is.