To solve the absolute value equation, we can set up two separate equations without the absolute value sign.
When the expression inside the absolute value is positive:
2x-1 = 3
Adding 1 to both sides:
2x = 4
Dividing both sides by 2:
x = 2
When the expression inside the absolute value is negative:
-(2x-1) = 3
Multiplying both sides by -1:
2x-1 = -3
Adding 1 to both sides:
2x = -2
Dividing both sides by 2:
x = -1
Therefore, the solution set is {-1, 2}. Answer: A
Solve the absolute value equation.
|2x-1| =3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is }
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
• B. The solution set is no solution.
1 answer