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 > 3 means x is greater than 3.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

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

Back

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

Front

How do you represent 'less than 35' in inequality form?

Back

The inequality is written as x < 35.

Front

How do you represent 'at least 4 more points than 13' in inequality form?

Back

The inequality is written as s > 17.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 3 means 3 is not included).

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 3 means 3 is included).

Front

How do you graph the inequality y < 5?

Back

You draw a horizontal line at y = 5 with an open circle at (x, 5) and shade below the line.