VeritasPrepKarishma wrote:
alphabeta1234 wrote:
Hi,
Is there any general rule for multiplication or division of two inequalities?
If
a<x<b and c<y<d
then
a+c<x+y<b+d
a-d<x-y<b-c
Now is there any rule to find the relationships for xy or x/y?
Thank you in advance!
Is there any general rule for multiplication or division of two inequalities?
If
a<x<b and c<y<d
then
a+c<x+y<b+d
a-d<x-y<b-c
Now is there any rule to find the relationships for xy or x/y?
Thank you in advance!
Multiplication - Yes but very constrained.
If both sides of both inequalities are positive and the inequalities have the same sign, you can multiply them.
x < a
y < b
xy < ab
Given x, y, a, b are all positive.
Otherwise
-2 <
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