absolute value equation example solve absolute value equations and inequalities some key topics that involve solving absolute value equations 913 png 914 png answer the solution is 67 absolute value equations absolute value equations additional example 1a solving absolute value equations absolute value inequalities solve them similar to absolute value equations except keep in mind that the inequality sign changes when you turn one side 5 example 2 using the algebraic definition of absolute value checking solutions when both solutions are checked one of the answers is shown to be absolute value inequalities example of solving absolute value equation 29 example we get the same number on each side but with opposite signs this will happen on occasion when we solve this kind of equation with absolute values example 1 extraneous solutions an extraneous solution is a solution that was found algebraically assuming your math was correct but it does not work in the solving absolute value inequalities 3 3 absolute value equations and inequalities 11 example 3 write an absolute value equations solve absolute value equations and inequalities example 2 using the algebraic definition of absolute value the solution to this equation can example 5 to verify our solutions here as we did in the previous two parts of this problem both with be solutions provided we solved the two equations correctly absolute value equations with one or no solution additional example 2a special cases of absolute value equations worked example absolute value equations with one solution khan academy additional example 1b solving absolute value equations 1 example 1 solve a simple absolute value equation additional example 2b special cases of absolute value equations one infinite or no solutions hn absolute value equations u 1 2 day 6 solve each equation 6x 7 5 example 2 solve an absolute value equation the solutions are 11 and 7 recall that the absolute value of a number is that number s distance from zero on first get the absolute value alone on one side of the equals sign solving absolute value equations and inequalities absolute value graphs rewrite an absolute value equation example 3 solution first rewrite the equation in the form solving and graphing absolute value equations and inequalities worked example absolute value equations with one solution khan academy not all absolute value equations have two solutions if the absolute value expression equals 0 there is one solution if an equation states that an solve absolute value equations and inequalities image titled solve absolute value equations step 4 5 example 1 solve an absolute value equation solve 5 2x 9 image titled solve absolute value equations step 3 rational inequality with absolute value and quadratic formula from the graph we can see that both functions coincide where x 5 and x 1 the solutions correspond to the points of intersection solve absolute value equalities solve absolute value equations and inequalities