Justin says that rational expressions are not closed under subtraction. His claim is shown below. Is he correct? Justify your answer.
3x-1/2x+1 - 3x-1/2x+1 = 0/0, since division by 0 is undefined the result is not a rational expression.
A. Yes, he is correct. 3x-1/2x+1 - 3x-1/2x+1 = 0/0 and division by 0 results in an undefined quotient.
O No, he is not correct. 3x-1/2x+1 - 3x-1/2x+1 = 0 and 0 can be written as 0/1 since 0 and 1 are constant polynomials, 0/1 is a rational expression
O No. he is not correct. 3x-1/2x+1 - 3x-1/2x+1 = 0 and 0 is a whole number, not a rational expression
O No, he is not correct. 3x-1/2x+1 - 3x-1/2x+1 = 0/2x+1 and 0 is not a polynomial so the result is not a rational expression.
The correct answer is O No, he is not correct. 3x-1/2x+1 - 3x-1/2x+1 = 0 and 0 can be written as 0/1 since 0 and 1 are constant polynomials, 0/1 is a rational expression.
Justin's claim that the result is not a rational expression is incorrect because dividing by 0 does not necessarily make the expression undefined. In this case, the expression simplifies to 0, which can be written as the rational expression 0/1.