Discussion
If x # y = −1, which of the following could be true? I. x = y II. x > y III. x < y
| (A) | I only |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 06/28/2012 12:23
Can Statement 1 be proved with another example other than -4/5 ? Or without any numerical values just using the basic algebra without substitution
Posted: 06/28/2012 13:10
Rania,
Yes, you can. Based on the statement I. x = y,
you can simplify the equation x # y = x +y/4 = -1 to:
x + x/4 = -1, (replace y with x)
then:
x(1+1/4) = -1
x(5/4) = -1
x = - 4/5
So we know x = -4/5 and y = -4/5 will make x#y = -1, while x = y
Yes, you can. Based on the statement I. x = y,
you can simplify the equation x # y = x +y/4 = -1 to:
x + x/4 = -1, (replace y with x)
then:
x(1+1/4) = -1
x(5/4) = -1
x = - 4/5
So we know x = -4/5 and y = -4/5 will make x#y = -1, while x = y
Posted: 06/28/2012 13:11
Superb, thanks a lot !! :)