SOLUTION: Solve the following absolute value equations. If there is no solution, write DNE or if all real numbers are solutions, write ARS and explain why. Show all your works (4 points each

Algebra ->  Inequalities -> SOLUTION: Solve the following absolute value equations. If there is no solution, write DNE or if all real numbers are solutions, write ARS and explain why. Show all your works (4 points each      Log On


   



Question 1170831: Solve the following absolute value equations. If there is no solution, write DNE or if all real numbers are solutions, write ARS and explain why. Show all your works (4 points each)
1) |6x| + 12 = 6
2) |2x - 5| - 9 = -2

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
1) DNE. Subtracting 12 from both sides gives |6x| = -6. This is impossible
since absolute value must be >= 0.
2) |2x - 5| = 7. Two solutions: 2x - 5 = 7 -> x = 6; -(2x - 5) = 7 -> x = -1