Graphing Inequalities on a Number Line

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?

Back

'≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to a specified number.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that a value can be either less than or equal to a specified number.

Front

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

Back

Draw a number line, place a closed circle on 5, and shade to the right to indicate all numbers greater than or equal to 5.

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw a number line, place an open circle on 5, and shade to the left to indicate all numbers less than 5.

Front

How do you graph the inequality s ≤ 25 on a number line?

Back

Draw a number line, place a closed circle on 25, and shade to the left to indicate all numbers less than or equal to 25.

Front

How do you graph the inequality r < 140 on a number line?

Back

Draw a number line, place an open circle on 140, and shade to the left to indicate all numbers less than 140.

Front

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

Back

An open circle indicates that the number is not included (e.g., <), while a closed circle indicates that the number is included (e.g., ≤).

Front

Write the inequality for the graph: Closed circle on 5, shaded to the right.

Back

x ≥ 5

Front

Write the inequality for the graph: Open circle on 5, shaded to the left.

Back

x < 5