Graphing Inequalities on Number Lines

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 the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw a number line, place an open circle on 3 (not including 3), and shade to the right to indicate all numbers greater than 3.

Front

How do you graph the inequality x < -2 on a number line?

Back

Draw a number line, place an open circle on -2 (not including -2), and shade to the left to indicate all numbers less than -2.

Front

What does the graph of x ≥ 4 look like?

Back

Draw a number line, place a closed circle on 4 (including 4), and shade to the right to indicate all numbers greater than or equal to 4.

Front

What does the graph of x ≤ -1 look like?

Back

Draw a number line, place a closed circle on -1 (including -1), and shade to the left to indicate all numbers less than or equal to -1.

Front

How do you rewrite the inequality -2 ≥ n?

Back

Rewrite it as n ≤ -2, which means n is less than or equal to -2.

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., x > 3), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Front

If a graph shows a shaded line to the left of 5 with an open circle, what inequality does it represent?

Back

It represents x < 5.