Graphing inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows 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 in inequalities?

Back

The symbol '>' means 'greater than'. For example, in the inequality y > 2, y is greater than 2.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'. For example, in the inequality y < 3, y is less than 3.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'. For example, in the inequality y ≥ 1, y is either greater than 1 or equal to 1.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'. For example, in the inequality y ≤ 4, y is either less than 4 or equal to 4.

Front

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

Back

To graph y < 2x + 3, first graph the line y = 2x + 3 with a dashed line (since it's not inclusive). Then shade the area below the line.

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 determine if a point is a solution to an inequality?

Back

To determine if a point is a solution to an inequality, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What is the slope of a line?

Back

Front

What does it mean if a point lies above the line in a graph of an inequality?

Back

If a point lies above the line in a graph of an inequality, it means that the point satisfies the inequality (for example, y > mx + b).