A mathematical statement that one quantity is greater than or less than another. " is less than " is denoted , and " is greater than " is denoted . " is less than or equal to " is denoted , and " is greater than or equal to " is denoted . The symbols and are used to denote " is much less than " and " is much greater than ," respectively.
Solutions to the inequality consist of the set , or equivalently .
Solutions to the inequality consist of the set , or equivalently . If and
are both positive or both negative
and , then .
The portions of the -plane
satisfying a number of specific inequalities are illustrated above. Inequalities
in two dimensions can be plotted using RegionPlot[ineqs,
x, xmin, xmax, y, ymin, ymax].
Similarly, the portions of three-space satisfying a number of specific inequalities in the three Cartesian coordinates are illustrated above. Inequalities in three dimensions
can be plotted using RegionPlot3D[ineqs,
x, xmin, xmax, y, ymin, ymax, z,
zmin, zmax].
The Wolfram Language command FindInstance[ineqs,
vars] can be used to find a real solution of the system of real equations
and inequalities ineqs in the variables vars or return the empty
set if no such solution exists. Solution of inequalities can be performed using
the command Reduce[ineqs,
vars].
is less than 
" is denoted 
, and "
is greater than 
" is denoted 
. "
is less than or equal to 
" is denoted 
, and "
is greater than or equal to 
" is denoted 
. The symbols 
and 
are used to denote "
is much less than 
" and "
is much greater than 
," respectively.
consist of the set 
, or equivalently 
.
consist of the set 
, or equivalently 
. If 
and 
are both positive or both negative
and 
, then 
.
-plane
satisfying a number of specific inequalities are illustrated above. Inequalities
in two dimensions can be plotted using RegionPlot[ineqs,
x, xmin, xmax
, 
y, ymin, ymax
].
x, xmin, xmax
, 
y, ymin, ymax
, 
z,
zmin, zmax
].
