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

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

Back

You draw a solid dot at -6 and shade to the right.

Front

What does an open dot represent when 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 when graphing inequalities?

Back

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

Front

How would you graph the inequality x ≥ 2.5?

Back

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

Front

What is the difference between 'x > 4' and 'x ≥ 4'?

Back

'x > 4' means x is greater than 4 (not including 4), while 'x ≥ 4' means x is greater than or equal to 4 (including 4).

Front

When graphing c < 9, how do you represent it on a number line?

Back

You draw an open dot at 9 and shade to the left.

Front

What does the inequality x < 4 mean?

Back

It means that x can be any number less than 4.