Writing and Graphing Inequalities #1

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

The symbol '>' means 'greater than'. For example, m > 5 means m is greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, n < 10 means n is less than 10.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x is greater than or equal to 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 4 means y is less than or equal to 4.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, 'at least 20' is written as x ≥ 20.

Front

How do you represent 'fewer than' in an inequality?

Back

'Fewer than' is represented by the symbol '<'. For example, 'fewer than 150' is written as c < 150.

Front

What is the solution set of the inequality x > 3?

Back

The solution set includes all numbers greater than 3.

Front

How do you graph the inequality x ≤ 5 on a number line?

Back

Draw a closed circle on 5 and shade to the left to indicate all numbers less than or equal to 5.

Front

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

Back

'x > 3' means x is greater than 3 (not including 3), while 'x ≥ 3' means x is greater than or equal to 3 (including 3).