A
B
C
D
Explanation
Correct answer: B.
Choice B is correct. Subtracting from each side of the given equation yields . By the definition of absolute value, if , then or . Of the given choices, is a solution to the given equation.
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. This is the quotient, not the difference, of and .
Choice C
Choice C is incorrect. This is the sum, not the difference, of and .
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.