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 in an inequality?

Back

'>' means 'greater than'. For example, d > 5 means d is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

'<'' means 'less than'. For example, s < 10 means s is less than 10.

Front

What does the symbol '≥' mean in an inequality?

Back

'≥' means 'greater than or equal to'. For example, d ≥ 5 means d is greater than or equal to 5.

Front

What does the symbol '≤' mean in an inequality?

Back

'≤' means 'less than or equal to'. For example, s ≤ 10 means s is less than or equal to 10.

Front

How do you graph the inequality d > -1?

Back

You would draw a number line, place an open circle at -1, and shade to the right to indicate all numbers greater than -1.

Front

How do you graph the inequality d < 5?

Back

You would draw a number line, place an open circle at 5, and shade to the left to indicate all numbers less than 5.

Front

How do you write 'five is greater than d' as an inequality?

Back

You write it as d < 5.

Front

How do you write 'five is greater than or equal to d' as an inequality?

Back

You write it as d ≤ 5.

Front

What is the solution set for the inequality s < 10?

Back

The solution set includes all numbers less than 10.