Inequality Test

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: > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Front

How do you solve the inequality 3x - 5 > -26?

Back

To solve the inequality, add 5 to both sides to get 3x > -21, then divide by 3 to find x > -7.

Front

What does an open dot represent when graphing an inequality?

Back

An open dot represents that the value at that point is not included in the solution set, used for < and > inequalities.

Front

What does a closed dot represent when graphing an inequality?

Back

A closed dot represents that the value at that point is included in the solution set, used for ≤ and ≥ inequalities.

Front

How do you write an inequality for a situation where a person must be at least 18 years old?

Back

The inequality is x ≥ 18, where x represents the age of the person.

Front

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

Back

The solution set includes all real numbers less than 3.

Front

How do you graph the inequality x > 4?

Back

To graph x > 4, draw a number line, place an open dot at 4, and shade to the right to indicate all numbers greater than 4.

Front

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

Back

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

Front

How can you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.