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 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you represent the inequality x < 4 on a number line?

Back

Draw an open circle at 4 and shade to the left.

Front

How do you represent the inequality x ≤ 4 on a number line?

Back

Draw a closed circle at 4 and shade to the left.

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 (e.g., x < 4).

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 4).

Front

What is the solution set for the inequality x > 3?

Back

The solution set includes all numbers greater than 3.

Front

How do you graph the inequality k < 3?

Back

Draw an open circle at 3 and shade to the left.

Front

What is the solution set for the inequality x ≥ -3?

Back

The solution set includes -3 and all numbers greater than -3.