Homework Graphing Inequalities and Solutions

Front

What is an inequality?

Back

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

Front

What does a dotted line represent in graphing inequalities?

Back

A dotted line indicates that the points on the line are not included in the solution set of the inequality.

Front

What does a solid line represent in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution set of the inequality.

Front

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

Back

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

Front

What is the solution set of an inequality?

Back

The solution set is the set of all points that satisfy the inequality.

Front

What does it mean if a point is in the shaded region of a graph of an inequality?

Back

If a point is in the shaded region, it means that the point satisfies the inequality.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) means the value is not included, while 'greater than or equal to' (≥) means the value is included.

Front

What is the difference between 'less than' and 'less than or equal to'?

Back

'Less than' (<) means the value is not included, while 'less than or equal to' (≤) means the value is included.

Front

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

Back

1. Graph the line y = 2x + 3 with a dotted line. 2. Shade below the line to represent all points where y is less than 2x + 3.

Front

What is a boundary line in graphing inequalities?

Back

A boundary line is the line that represents the equation of the inequality, separating the solution set from non-solution set.