Writing and 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 '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 x < 4?

Back

You draw a number line, place an open circle at 4, and shade to the left.

Front

How do you graph the inequality x ≥ 3?

Back

You draw a number line, place a closed circle at 3, and shade to the right.

Front

What is the solution set of the inequality t > -8?

Back

The solution set includes all numbers greater than -8.

Front

If Sally needs at least 15 dollars, what inequality represents this situation?

Back

The inequality is x ≥ 15.

Front

How many hours does Joseph need to work to afford a $48 video game if he earns $8 per hour?

Back

He needs to work at least 6 hours.