Question

Which of the following choices best describes the expression 2/3 (3/4x - 3/2)A: equivalent to 1/2x - 1B: equivalent to x - 1/2C: not equivalent to 1/2x - 1 or x - 1/2

Answer 1

`(2)/(3)((3)/(4)x-(3)/(2))`

distributing:

`\begin{gathered} (2)/(3)\cdot(3)/(4)x-(2)/(3)\cdot(3)/(2)= \\ =(1)/(2)x-1 \end{gathered}`

the expression is equivalent to 1/2x - 1