SOLUTION: Solve the absolute value equation or indicate that the equation has no solution: |2(x+1)+6|=10 a. {-9,10} b. {-7,3} c. {-7,0} d. {-9,0}

Algebra ->  Absolute-value -> SOLUTION: Solve the absolute value equation or indicate that the equation has no solution: |2(x+1)+6|=10 a. {-9,10} b. {-7,3} c. {-7,0} d. {-9,0}      Log On


   

Question 814319: Solve the absolute value equation or indicate that the equation has no solution:
|2(x+1)+6|=10

a. {-9,10} b. {-7,3} c. {-7,0} d. {-9,0}
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
|2(x+1)+6|=10

Te equation will be true if what is between the absolute
value bars equals to +10 or if it equals -10.

So to remove absolute value bars, write two equations
indicating both cases and solve them separately:

2(x+1)+6 = 10        2(x+1)+6 = -10
  2x+2+6 = 10          2x+2+6 = -10
    2x+8 = 10            2x+8 = -10
      2x = 2               2x = -18
       x = 1                x = -9

Solution: {-9,1}, not any you listed, maybe there is a typo in
either a. or d.

Edwin