Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '>' mean?

Back

'>' means 'greater than'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

What does the symbol '<' mean?

Back

'<' means 'less than'.

Front

How do you graph the inequality y ≥ -3?

Back

You draw a horizontal line at y = -3 and shade the area above the line.

Front

Are points on the boundary line included in the solution set for '≥' or '≤'?

Back

Yes, points on the boundary line are included in the solution set.

Front

Are points on the boundary line included in the solution set for '>' or '<'?

Back

No, points on the boundary line are NOT included in the solution set.

Front

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

Back

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

Front

How do you determine the correct graph for an inequality?

Back

You analyze the inequality to see if it includes the boundary line and the direction of shading based on the inequality sign.