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 in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ -2 means x can be any number greater than or equal to -2.

Front

How do you represent the inequality k < 3 on a number line?

Back

You draw an open circle at 3 and shade to the left, indicating all numbers less than 3.

Front

When graphing b < 6, should you use an open or closed circle?

Back

You should use an open circle because the inequality does not include 6.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set, as in ≤ or ≥.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution set, as in < or >.

Front

If a number line graph shows an arrow pointing to the left from -4, what inequality does it represent?

Back

It represents x < -4.