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, x > 5 means x is any number greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open dot at 3, and shade to the right.

Front

How do you graph the inequality x < 5?

Back

To graph x < 5, draw a number line, place an open dot at 5, and shade to the left.

Front

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

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

What does the inequality x ≤ 7 represent on a number line?

Back

The inequality x ≤ 7 represents all numbers less than or equal to 7, graphed with a closed dot at 7 and shading to the left.

Front

What are two numbers that satisfy the inequality x < 10?

Back

Examples of numbers that satisfy x < 10 include 9 and 5.