Answer:
PROPERTIES OF INEQUALITY
Anti reflexive Property
For all real numbers x ,
x≮x and x≯x
Anti symmetry Property
For all real numbers x and y ,
if x<y, then y≮x.
if x>y, then y≯x.
Transitive Property
For all real numbers x,y, and z ,
if x<y and y<z , then x<z .
if x>y and y>z , then x>z .
Addition Property
For all real numbers x,y, and z ,
if x<y then x+z<y+z .
Subtraction Property
For all real numbers x,y, and z ,
if x<y then x−z<y−z .
Multiplication Property
For all real numbers x,y, and z ,
if x<y , then
⎧⎩⎨⎪⎪xz<yz, if z>0.xz>yz, if z<0.xz=yz, if z=0.
