Inequalities and Solution Sets

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?

Back

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

Front

What does the symbol ≥ mean?

Back

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

Front

What does the symbol < mean?

Back

The symbol < means 'less than'.

Front

What does the symbol > mean?

Back

The symbol > means 'greater than'.

Front

What is a solution set?

Back

A solution set is a collection of all values that satisfy a given inequality.

Front

Back

The solution set is represented as {x | x ≤ 6}, which includes all numbers less than or equal to 6.

Front

Back

The solution set is represented as {y | y > 20}, which includes all numbers greater than 20.

Front

When graphing an inequality, what does a closed dot indicate?

Back

A closed dot indicates that the number is included in the solution set (used for ≤ and ≥).

Front

When graphing an inequality, what does an open dot indicate?

Back

An open dot indicates that the number is not included in the solution set (used for < and >).