Inequalities and Graph Interpretation Flashcard. 12-4-24

Front

What does a solid line in a graph of an inequality indicate?

Back

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

Front

What does shading below a line in a graph of an inequality represent?

Back

Shading below the line indicates that the solutions are all the points below the line, including the line itself if it is solid.

Front

What is the inequality represented by a graph with a solid line and shading below?

Back

The inequality is of the form y ≤ mx + b, where m is the slope and b is the y-intercept.

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 does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of the inequality by a negative number.

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Back

Front

Back

Front

Back

(0,0) is not a solution because substituting gives 0 > 1, which is false.

Front

What is the general form of a linear inequality?

Back

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values that satisfy the inequality, often represented by parallel lines with no intersection.