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 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

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

Front

How do you graph the inequality x ≥ 2.5?

Back

You place a closed dot on 2.5 and shade to the right.

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

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

When graphing x < 4, how do you represent it?

Back

You use an open dot at 4 and shade to the left.

Front

What is the difference between 'x < 4' and 'x ≤ 4'?

Back

'x < 4' uses an open dot and shades left; 'x ≤ 4' uses a closed dot and shades left.

Front

How do you graph the inequality a > 11?

Back

You place an open dot on 11 and shade to the right.

Front

What is the correct graph for the inequality a ≤ 11?

Back

You place a closed dot on 11 and shade to the left.