Inequality Review

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 an inequality?

Back

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

Front

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

Back

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

Front

What does '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left is either larger than or equal to the value on the right.

Front

What does '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left is either smaller than or equal to the value on the right.

Front

How do you represent the solution x ≥ -3 in interval notation?

Back

The interval notation for x ≥ -3 is [-3, ∞).

Front

How do you represent the solution z < 20 in interval notation?

Back

The interval notation for z < 20 is (-∞, 20).

Front

What type of circle is drawn for 'greater than' (>) or 'less than' (<) when graphing inequalities?

Back

An open circle is drawn for 'greater than' (>) or 'less than' (<) to indicate that the endpoint is not included in the solution.

Front

What type of circle is drawn for 'greater than or equal to' (≥) or 'less than or equal to' (≤) when graphing inequalities?

Back

A closed circle is drawn for 'greater than or equal to' (≥) or 'less than or equal to' (≤) to indicate that the endpoint is included in the solution.

Front

What is the solution set for the inequality -7 + 10z > -27?

Back

The solution set is z > -2.