Writing and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality x < 5?

Back

To graph x < 5, 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 graph the inequality x ≥ 3?

Back

To graph x ≥ 3, draw a number line, place a closed circle at 3, and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the difference between an open circle and a closed circle on a graph?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 5), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Front

How would you express 'a number n is at least 10' in inequality form?

Back

n ≥ 10.

Front

What is the solution set for the inequality x < 2?

Back

The solution set includes all real numbers less than 2.