Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' represent in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in an inequality?

Back

The symbol '≤' means 'less than or equal to'.

Front

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

Back

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

Front

How do you graph the inequality y > -2x - 3?

Back

1. Graph the line y = -2x - 3 with a dashed line. 2. Shade the area above the line.

Front

What does it mean if a graph is shaded above the line?

Back

If a graph is shaded above the line, it indicates that the solutions to the inequality are greater than the line's equation.

Front

What does it mean if a graph is shaded below the line?

Back

If a graph is shaded below the line, it indicates that the solutions to the inequality are less than the line's equation.

Front

How do you determine if an inequality is represented by a graph?

Back

Check the line type (solid or dashed) and the shading direction (above or below) to match with the inequality's symbols.