If the equality symbol of an equation is changed to an inequality symbol that does not includes equal to, why is the solution to the equation always not included in the solution to the inequality?

Linear inequalities are different than linear equations, although you can apply what you know about equations to help you understand inequalities. Inequalities and equations are both math statements that compare two values. Equations use the symbol =; inequalities will be represented by the symbols <, ≤, >, and ≥.