Inequalities and Graph Interpretation Flashcard. 1st 12-4-24

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 it mean if a graph has a solid line?

Back

A solid line indicates that the points on the line are included in the solution set (i.e., the inequality is 'greater than or equal to' or 'less than or equal to').

Front

What does it mean if a graph has a dashed line?

Back

A dashed line indicates that the points on the line are not included in the solution set (i.e., the inequality is 'greater than' or 'less than').

Front

How do you determine if a point is part of the solution set for an inequality?

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, the point is part of the solution set.

Front

What does shading above a line in a graph indicate?

Back

Shading above a line indicates that the solution set includes all points where the y-value is greater than the value of the line (i.e., 'y > ...').

Front

What does shading below a line in a graph indicate?

Back

Shading below a line indicates that the solution set includes all points where the y-value is less than the value of the line (i.e., 'y < ...').

Front

Back

Front

Back

It represents a line with a solid line and shading below the line.

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Back

Front

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

Back

'Greater than' (>) does not include the boundary point, while 'greater than or equal to' (≥) includes the boundary point.