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

The symbol '>' means 'greater than'. For example, m > 17 means m is greater than 17.

Front

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

Back

The symbol '<' means 'less than'. For example, x < -1.1 means x is less than -1.1.

Front

How do you represent 'more than twenty students' in an inequality?

Back

s > 20, where s represents the number of students.

Front

What does the inequality 2 > p represent?

Back

It means that the value of p is less than 2.

Front

How do you graph the inequality x < -1.1?

Back

You draw a number line, place an open circle at -1.1, and shade to the left.

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 (e.g., < or >), while a closed circle indicates that the number is included (e.g., ≤ or ≥).

Front

If k < 3, what does this mean?

Back

It means that k can be any number less than 3.

Front

How do you solve the inequality m > 17?

Back

Any number greater than 17 is a solution, such as 18, 19, or 23.

Front

What is the solution set for the inequality x < 5?

Back

The solution set includes all numbers less than 5.