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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean in an inequality?

Back

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

Front

What does the symbol '≤' mean in an inequality?

Back

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

Front

How do you graph the inequality y < 2x + 3?

Back

Graph the line y = 2x + 3 with a dashed line and shade below the line.

Front

How do you graph the inequality y ≥ -3?

Back

Graph the line y = -3 with a solid line and shade above the line.

Front

What type of line is used for strict inequalities (< or >)?

Back

A dashed line is used for strict inequalities.

Front

What type of line is used for inclusive inequalities (≤ or ≥)?

Back

A solid line is used for inclusive inequalities.

Front

If a graph is shaded above a line, what does that indicate about the inequality?

Back

It indicates that the inequality is greater than (>) or greater than or equal to (≥).