Graphing Inequalities on a Number Line Graph

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is any number less than 5.

Front

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

Back

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

Front

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

Back

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

Front

How do you represent the inequality x < 8 on a number line?

Back

You draw an open dot at 8 and shade to the left, indicating all numbers less than 8.

Front

How do you represent the inequality x ≥ -5 on a number line?

Back

You draw a closed dot at -5 and shade to the right, indicating all numbers greater than or equal to -5.

Front

What is the difference between a closed dot and an open dot on a number line?

Back

A closed dot indicates that the number is included (≥ or ≤), while an open dot indicates that the number is not included (> or <).

Front

If x > 3, what numbers could be x?

Back

Any number greater than 3, such as 4, 5, 6, etc.

Front

If x ≤ 3, what numbers could be x?

Back

Any number less than or equal to 3, such as 3, 2, 1, 0, etc.