Question

Which of the following expressions represents the distance between -1/4 and 3/4?

Answer 1

Answer:

The correct answer is C none of the above

Step-by-step explanation:

Answer 2

Answer:

$\large\boxed{C.\ \left|-\dfrac{1}{4}-\dfrac{3}{4}\right|}$

Step-by-step explanation:

$\text{The formula of a distance between x and y on a number line:}\\\\d=|b-a|=|a-b|\\\\\text{We have}\ a=-\dfrac{1}{4}\ \text{and}\ b=\dfrac{3}{4}.\ \text{The distance:}\\\\d=\left|-\dfrac{1}{4}-\dfrac{3}{4}\right|=\left|\dfrac{3}{4}-\left(-\dfrac{1}{4}\right)\right|$