Graphing Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol < mean?

Back

The symbol < means 'less than'.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'.

Front

What does the symbol ≤ mean?

Back

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

Front

What does the symbol ≥ mean?

Back

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

Front

How do you graph the inequality k < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left.

Front

What does a closed dot represent in graphing inequalities?

Back

A closed dot represents that the number is included in the solution (used for ≤ or ≥).

Front

What does an open dot represent in graphing inequalities?

Back

An open dot represents that the number is not included in the solution (used for < or >).

Front

How do you graph the inequality x ≥ -5?

Back

You draw a number line, place a closed dot at -5, and shade to the right.

Front

What is the solution set for the inequality a < 11?

Back

The solution set includes all numbers less than 11.