MathRevolution wrote:
If y≠0, is |x/y|=x/y?
The question is basically asking if x & y have the same sign i.e. Are x,y > 0 OR x,y <0?
Quote:
1) |xy|=xy
2) |x/y|=|x|/|y|
1) |xy| = xy
=> Both x and y have the same sign.
x = 1, y = 1
|xy| = 1
xy = 1
They are the same.
x = 1, y = -1
|xy| = 1
xy = -1
Not the same. Test Failed
=> x and y have the same sign.
=> |x/y| = \(\frac{x}{y}\)
So A is sufficient.
2) |x/y|=\(\frac{|x|}{|y|}\)
x = 1, y = 1
|x/y|=\(\frac{|x|}{|y|}\) = 1
=> |x/y| = \(\frac{x}{y}\) = 1 => YES
x = -1, y = 1
|x/y|=\(\frac{|x|}{|y|}\) = 1
BUT |x/y| = 1 ≠ \(\frac{x}{y}\) = -1
=> NO.
2 answers, hence Insufficient.
A is the answer.
_________________
Put in the work, and that dream score is yours!