Graphing inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' represent?

Back

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

Front

What does the symbol '≤' represent?

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 points on the line are included in the solution set (≥ or ≤), while a dashed line indicates that points on the line are not included (greater than or less than).

Front

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

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, then the point is a solution.

Front

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

Back

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

Front

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

Back

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

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 with a dashed line and shade below the line.

Front

What is the solution set of the inequality y ≥ -3/4x + 3?

Back

The solution set includes all points on and above the line y = -3/4x + 3.

Front

What is the significance of the boundary line in graphing inequalities?

Back

The boundary line separates the solution set from the non-solution set; whether it is included depends on the type of inequality.