When we look at inequalities, we are looking at two expressions that are “inequal” or unequal to each other, as the name suggests. This means that one equation will be larger than the other. The four basic inequalities are: less than, greater than, less than or equal to, and greater than or equal to.

Description Inequality Symbols: <, >, ≤, ≥ Inequality symbols are a shorthand notation used to compare different quantities. There are four inequality symbols “greater than”, “less than”, “greater than or equal to”, and “less than or equal to”. So, for instance, the sentence “5 is greater than 2” can be written as 5>2.

A closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.

For example, x > 6 or x < 2. The solution to this compound inequality is all the values of x in which x is either greater than 6 or x is less than 2. Since this compound inequality is an or statement, it includes all of the numbers in each of the solutions, which in this case is all the numbers on the number line.

A number line is defined as the pictorial representation of numbers such as fractions, integers and whole numbers laid out evenly on a straight horizontal line. A number line can be used as a tool for comparing and ordering numbers and also performing operations such as addition and subtraction.

A compound inequality contains at least two inequalities that are separated by either “and” or “or”. The graph of a compound inequality with an “and” represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities.

When graphing a linear inequality on a number line, use an open circle for “less than” or “greater than”, and a closed circle for “less than or equal to” or “greater than or equal to”.

There are two types of compound inequalities. They are conjunction problems and disjunction problems. These compound inequalities will sometimes appear as two simple inequalities separated by using the word AND or OR. When solving “and/or” compound inequalities, begin by solving each inequality individually.

A compound inequality is an inequality that combines two simple inequalities. This article provides a review of how to graph and solve compound inequalities.

Compound inequalities joined by “or” are also called the “union” of two inequalities.

If the inequality states something untrue there is no solution. If an inequality would be true for all possible values, the answer is all real numbers.

If the numbers you get from evaluating the two expressions are the same, then the given value is a solution of the equation (makes the equation true). If the numbers don’t match, the given value is not a solution of the equation (makes the equation false).