Graphing Inequalities on a Number Line

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 'greater than'.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality b ≤ -2 on a number line?

Back

Draw a number line, place a closed circle on -2, and shade to the left.

Front

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

Back

Draw a number line, place an open circle on 3, and shade to the left.

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 that has a closed circle on 5 and shades to the right.

Back

x ≥ 5.

Front

Write the inequality for the graph that has an open circle on 5 and shades to the left.

Back

x < 5.