Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > 2?

Back

Graph a dashed horizontal line at y = 2 and shade the area above the line.

Front

How do you graph the inequality y < -x + 3?

Back

Graph a dashed line for y = -x + 3 and shade the area below the line.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).

Front

How can you tell if an inequality will have a solid line?

Back

An inequality will have a solid line if it includes an equal sign (≥ or ≤).

Front

What does it mean if a graph is shaded above a line?

Back

If a graph is shaded above a line, it indicates that the solutions are greater than the line's equation.

Front

What does it mean if a graph is shaded below a line?

Back

If a graph is shaded below a line, it indicates that the solutions are less than the line's equation.

Front

How do you determine the correct graph for the inequality y ≥ -2x + 4?

Back

Graph the line y = -2x + 4 with a solid line and shade above the line.