Inequalities and Graph Interpretation Flashcard. 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, or not equal to the other.

Front

What does a solid line in a graph represent in inequalities?

Back

A solid line indicates that the points on the line are included in the solution set (e.g., y ≥ -x + 4).

Front

What does a dashed line in a graph represent in inequalities?

Back

A dashed line indicates that the points on the line are NOT included in the solution set (e.g., y < 3x + 2).

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 shading above a line in a graph indicate?

Back

Shading above a line indicates that the solution includes all points where the y-value is greater than the line (e.g., y > -x + 4).

Front

What does shading below a line in a graph indicate?

Back

Shading below a line indicates that the solution includes all points where the y-value is less than the line (e.g., y < 3x + 2).

Front

Are boundary points included in the solution set for inequalities with a solid line?

Back

Yes, boundary points are included in the solution set for inequalities with a solid line.

Front

Are boundary points included in the solution set for inequalities with a dashed line?

Back

No, boundary points are NOT included in the solution set for inequalities with a dashed line.

Front

What is the difference between 'y < x' and 'y ≤ x'?

Back

'y < x' means y is less than x (not including x), while 'y ≤ x' means y is less than or equal to x (including x).