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12 May 2014, 21:38
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Hi ,
The variable x is not necessarily positive, nor is - x necessarily negative.
Why cannot state - x is a negative number?
And also If x = -y, then we have either
x 0 y or y 0 x in a number line
Why Can't we determine just as - y is a negative number with a sign?
This is from Manhattan Number Properties.
Pls Help me!
The variable x is not necessarily positive, nor is - x necessarily negative.
Why cannot state - x is a negative number?
And also If x = -y, then we have either
x 0 y or y 0 x in a number line
Why Can't we determine just as - y is a negative number with a sign?
This is from Manhattan Number Properties.
Pls Help me!
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13 May 2014, 00:15
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kanusha
Can you elaborate a bit more..
What I understood from " The variable x is not necessarily positive, nor is - x necessarily negative.
Why cannot state - x is a negative number?"
When you see a variable x, don't assume it to be positive just because it does not have negative sign in front of it.
Similarly if you -x don't assume it be negative just because it has negative sign in front of it
For ex if x=3 then x is positive but if x=-3 then -x=3
"And also If x = -y, then we have either
x 0 y or y 0 x in a number line
Why Can't we determine just as - y is a negative number with a sign?"
Okay now You have answered the question by yourself here.
Case if x=-y then x+y =0 or we have x......0......y or y......0.......x
Now if y=-5 then x=5 but if x=-5 then y=5
So -y does not become negative just because it has negative sign in front of it.
Note if its given that y is negative then y<0 and -y>0
Hope it helps.
14 May 2014, 22:31
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kanusha
Let me also add that x is a variable. x can take any real value - positive, negative, decimal, irrational etc.
So x can be 4 just as it can be -7. Just as likely are \(-\sqrt{3}\) and -6.2
So x can take ANY real value.
If you have -x, whether it is positive or negative depends on what x actually is. If x is positive, -x is negative. But if x is actually negative, -x will be positive.
