Review of Inequalities

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 '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

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

Front

How do you graph the inequality k < 3?

Back

To graph k < 3, draw a number line, place an open circle at 3, and shade to the left to indicate all values less than 3.

Front

How do you graph the inequality r ≥ -6?

Back

To graph r ≥ -6, draw a number line, place a closed circle at -6, and shade to the right to indicate all values greater than or equal to -6.

Front

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

Back

An open circle indicates that the number is not included in the solution (e.g., <), while a closed circle indicates that the number is included (e.g., ≥).

Front

What does the inequality a ≥ 11 mean?

Back

The inequality a ≥ 11 means that the value of a is greater than or equal to 11.

Front

How do you determine which inequality matches a given graph?

Back

To determine which inequality matches a graph, observe the direction of shading and whether the endpoints are open or closed circles.

Front

What does the inequality x ≥ 3 represent on a number line?

Back

The inequality x ≥ 3 represents all values of x that are greater than or equal to 3, shown with a closed circle at 3 and shading to the right.

Front

What is the solution set of the inequality k < 3?

Back

The solution set of k < 3 includes all real numbers less than 3.