Question 148455
You determine if a value is a solution to an inequality by plugging it back into the inequality (along with some other numbers within the indicated range).  You determine if a value is a solution to an equation by plugging it back into the equation.  So you do the same thing in both situations.  There is always one value (two for absolute value equations) that is a solution to both an equation and the inequality form of the equation.



There are more solutions to inequalities than equations because equations are more specific, and the solutions of inequalities are continuous.  An equation must equal something, whereas an inequality can be "more than", "less than", "more than or equal to", or "less than or equal to".  All of which have a wider range than strictly "equal to".