Homework Graphing Inequalities and Solutions

Front

What does it mean if a line is dotted in a graph of an inequality?

Back

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

Front

What does it mean if a line is solid in a graph of an inequality?

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 graph is shaded above or below?

Back

If the inequality symbol is 'greater than' (>) or 'greater than or equal to' (≥), the graph is shaded above. If it is 'less than' (<) or 'less than or equal to' (≤), it is shaded below.

Front

What is the inequality represented by a line with a slope of 3 and a y-intercept of -2?

Back

Front

What is the solution set of an inequality?

Back

The solution set is the set of all points (x, y) that satisfy the inequality.

Front

How can you tell 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

Back

It means 'less than' and indicates that the values on the left side of the inequality are smaller than those on the right.

Front

Back

It means 'greater than' and indicates that the values on the left side of the inequality are larger than those on the right.

Front

Back

Front

Back

A solid line is used because the inequality includes the equal sign (≤).