Solve absolute value t - 2 = -1
A. -1, 3
B. -1, 1
C. -3, 3
D. -3, 1
Thank you!! I got D. Please correct me if I am wrong. Thank you again for assistance.
I assume you meant:
|t-2| = -1
since by definition |anything| is never negative, there is no solution.
If you meant
|t| -2 = -1
|t| = 1
then B
To solve the absolute value equation t - 2 = -1, you need to isolate the absolute value on one side of the equation.
Step 1: Start by adding 2 to both sides of the equation:
t - 2 + 2 = -1 + 2
t = 1
Step 2: Now that you have t = 1, substitute this value back into the original equation and solve for t:
|1 - 2| = -1
|-1| = -1
1 = -1
Step 3: Since 1 does not equal -1, this means there are no solutions to the equation. Therefore, none of the answer choices (A, B, C, D) are correct.
So, you were right to question your answer choice D as it is incorrect. The correct answer is actually none of the above.