Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol < represent in inequalities?

Back

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

Front

What does the symbol > represent in inequalities?

Back

The symbol > means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

What does the symbol ≤ represent in inequalities?

Back

The symbol ≤ means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

Front

What does the symbol ≥ represent in inequalities?

Back

The symbol ≥ means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

Front

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

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

How do you graph the inequality x < 3?

Back

To graph x < 3, place an open dot at 3 on the number line and shade to the left to indicate all numbers less than 3.

Front

How do you graph the inequality x ≥ 5?

Back

To graph x ≥ 5, place a closed dot at 5 on the number line and shade to the right to indicate all numbers greater than or equal to 5.

Front

What is a compound inequality?

Back

A compound inequality combines two inequalities, such as x < 2 and x > -1, which can be written as -1 < x < 2.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.