Introduction to Inequalities

An inequality compares two qualities that typically uses the following: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than equal to)

Solution set of the inequality represents all the values that make the inequality true

To check if a given value belongs to the solution set, replace the variable with the given value. If it makes the inequality true, it is a part of the solution set

An open circle on the graph means the corresponding number is not a part of the solution set

A closed circle on the graph means the corresponding value is part of the solution set

To solve an inequality, we can remove the number by performing the inverse operation. For example:
In x + (- 23) ≥ - 4, we can remove - 23 from the left side by subtracting - 23 from both the sides of the inequality