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The greater-than symbol is used in various operations that usually pertain to work being done mathematically or with a programming language. The symbol looks similar to a sideways V and has been used in recorded literature as old as the 1560s. Generally, the symbol is used to show inequality between two numbers or expressions. In mathematics, if there are two numbers being looked at as an inequality, the greater-than symbol usually goes in between the two and the open end is pointed towards the larger number to symbolize that it is a number greater than the other (For example: 4 > 2 or 100 < 102). There are other combinations of the greater-than symbol and the 'equals' symbol or the greater-than symbol beside another greater-than symbol that are also used mathematically and computationally.
The symbols < and > first appear in Artis Analyticae Praxis ad Aequationes Algebraicas Resolvendas (The Analytical Arts Applied to Solving Algebraic Equations) by Thomas Harriot (1560-1621), which was published posthumously in 1631: "Signum majoritatis ut a > b significet a majorem quam b" and "Signum minoritatis ut a < b significet a minorem quam b."
According to Johnson (page 144), while Harriot was surveying North America, he saw a native American with a symbol that resembled the greater than symbol both backwards and forwards ( > and < ) . Johnson says it is likely he developed the two symbols from this symbol.
The greater-than sign (>) is an original ASCII character (hex 3E, decimal 62).
Angle brackets 
The greater-than sign is used for an approximation of the closing angle bracket (⟩). ASCII does not have (angular brackets).
Programming language 
BASIC and C-family languages, (including Java and C++) use the operator > to mean "greater than". In Lisp-family languages, > is a function used to mean "greater than". In Coldfusion and Fortran, operator .GT. means "greater than". It basically means this sign > is greater than and this sign < is less than.
Double greater-than sign 
The double greater-than sign (>>) is used for an approximation of the much greater than sign (≫). ASCII does not have the much greater-than sign.
The double greater-than sign (>>) is also used for an approximation of the closing guillemet (»). ASCII does not have guillemets.
Greater-than sign plus equals sign 
The greater-than sign plus the equals sign (>=) is used for an approximation of the greater than or equal to sign (≥). ASCII does not have greater-than-or-equal-to sign.
In Fortran, operator .GE. means "greater than or equal to".
Example: 5 > 2 means 5 is greater than 2. 6 < 9 means 6 is less than 9.
Shell scripts 
Spaceship operator 
Greater-than sign is used in the spaceship operator.