Graphing Inequalities and Their Symbols

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 'less than or equal to'. It indicates that a value can be either less than or equal to another value.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'. It indicates that a value can be either greater than or equal to another value.

Front

How do you graph the inequality x < 3?

Back

To graph x < 3, draw a number line, place an open circle at 3, and shade to the left to indicate all values less than 3.

Front

How do you graph the inequality x ≥ -2?

Back

To graph x ≥ -2, draw a number line, place a closed circle at -2, and shade to the right to indicate all values greater than or equal to -2.

Front

What does the inequality x > 5 represent on a number line?

Back

It represents all values greater than 5, shown by an open circle at 5 and shading to the right.

Front

What does the inequality 0 ≤ x < 5 mean?

Back

It means x can be any value from 0 to 5, including 0 but not including 5.

Front

What is the difference between 'AND' and 'OR' in inequalities?

Back

'AND' means both conditions must be true, while 'OR' means at least one condition must be true.

Front

How do you write the inequality for the graph that shows x is between -2 and 5?

Back

The inequality is -2 ≤ x < 5.

Front

What does the inequality x ≤ -2 OR x > 5 represent?

Back

It represents all values less than or equal to -2 and all values greater than 5.