Inequalities - Solution Set

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either greater than or equal to the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either less than or equal to the value on the right.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is strictly greater than the value on the right.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. It indicates that the value on the left is strictly less than the value on the right.

Front

How do you represent the solution set of an inequality?

Back

The solution set of an inequality can be represented on a number line, showing all the values that satisfy the inequality.

Front

Back

The solution set is all real numbers greater than 5, represented as (5, ∞).

Front

Back

The solution set is all real numbers less than or equal to 10, represented as (-∞, 10].

Front

What is the difference between '≥' and '>'?

Back

'≥' includes the value itself in the solution set, while '>' does not include the value itself.

Front

What is the difference between '≤' and '<'?

Back

'≤' includes the value itself in the solution set, while '<' does not include the value itself.