Practice Graphing Inequalities and Solutions Multiple Choice

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 symbols are used to represent inequalities?

Back

The symbols used to represent inequalities are: < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the possible solutions that satisfy the inequality.

Front

What does a closed circle on a number line indicate?

Back

A closed circle on a number line indicates that the endpoint is included in the solution set, representing 'less than or equal to' (≤) or 'greater than or equal to' (≥).

Front

What does an open circle on a number line indicate?

Back

An open circle on a number line indicates that the endpoint is not included in the solution set, representing 'less than' (<) or 'greater than' (>).

Front

How do you graph the inequality x ≤ 6?

Back

To graph x ≤ 6, place a closed circle on 6 and shade to the left to indicate all values less than or equal to 6.

Front

How do you graph the inequality x < 2?

Back

To graph x < 2, place an open circle on 2 and shade to the left to indicate all values less than 2.

Front

Is 0 a solution for the inequality p < -4?

Back

No, 0 is not a solution for the inequality p < -4 because 0 is greater than -4.

Front

What does the inequality -1 > x mean?

Back

The inequality -1 > x means that x is less than -1.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.