MATH 1021 Chapter : Section 1 8
Document Summary
Math 1021 section 1. 8 equations and inequalities involving absolute value. Definition: if a is a positive real number and if u is any expression, then u a= is equivalent to u = a or u = -a. This means we want the expression u to be a units away from zero on a number line. This means we are looking for all values of x whose distance from zero on a number line is 3 units. Since we can go in either direction from zero, there will be two solutions. So the solutions to this equation are x = 3 or x = -3. *****note: the absolute value must be by itself on one side of the equation. Before you can set up the two cases. *****note: if the absolute value is by itself and the number on the other side of the equation is negative, there are no solutions.
