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 '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'. 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 or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

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

Front

How do you represent the inequality a ≥ 11 on a number line?

Back

You place a closed dot on 11 and shade to the right, indicating all numbers greater than or equal to 11.

Front

How do you represent the inequality a < 11 on a number line?

Back

You place an open dot on 11 and shade to the left, indicating all numbers less than 11.

Front

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

Back

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

Front

What is the correct inequality for the statement 'x is greater than 9'?

Back

The correct inequality is x > 9.

Front

What is the correct inequality for the statement 'x is less than or equal to -4'?

Back

The correct inequality is x ≤ -4.