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 'less than or equal to'.

Front

How do you represent the inequality r ≥ -6 on a number line?

Back

You place a closed dot at -6 and shade to the right.

Front

What does the inequality a < 11 represent on a graph?

Back

It represents all numbers less than 11, with an open dot at 11.

Front

When graphing the inequality k < 3, what type of dot is used?

Back

An open dot is used at 3.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

How do you graph the inequality x ≤ -4?

Back

You place a closed dot at -4 and shade to the left.

Front

What does the inequality x < -4 indicate?

Back

It indicates all numbers less than -4, with an open dot at -4.

Front

What is the purpose of using a closed dot in graphing inequalities?

Back

A closed dot indicates that the number is included in the solution set.