Writing & 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

'≥' means 'greater than or equal to'.

Front

What does the symbol '<' mean?

Back

'<'' means 'less than'.

Front

How do you represent the inequality x > 5 on a number line?

Back

Draw an open dot at 5 and shade to the right.

Front

What does an open dot represent in graphing inequalities?

Back

An open dot indicates that the number is not included in the solution (e.g., x > 5).

Front

What does a closed dot represent in graphing inequalities?

Back

A closed dot indicates that the number is included in the solution (e.g., x ≥ 5).

Front

How would you graph the inequality x ≤ 3?

Back

Draw a closed dot at 3 and shade to the left.

Front

What is the solution to the inequality x + 2 < 7?

Back

x < 5.

Front

If you have the inequality x ≥ 15, how would you graph it?

Back

Draw a closed dot at 15 and shade to the right.

Front

What is the difference between 'x > 3' and 'x ≥ 3'?

Back

'x > 3' does not include 3, while 'x ≥ 3' includes 3.