Place a familiar mathematical symbol between 2 and 3 to express
a number greater than 2 and less than 3.

Watch out! There is more than one solution!

(In reply to re(2): The 3rd one by Ady TZIDON)

In re #6 "(neither a cube-root nor 2<3 qualify))".

I will agree that 2<3 does not fit the criteria, but the cube-root does.
One can find the cube-root (symbolized with a radical with a superscripted 3 as the index above the radical's hook) treated as a special character in the Unicode  character set (U+221B). The fourth-root (with a superscripted 4 as the index) is also within that set (U+221C).
As the multiplication symbol can be implied as ab = a*b, and parenthesis are not required when the symbols used do not require them, 2*cube-root 3 does fit the criteria when the Unicode symbol is used.
Since 2 < 2.884499 < 3, and 2 < 2.632148 < 3, and
2*cube-root 3 ~= 2.884499; and,
2*fourth-root 3 ~= 2.632148
both the cube-root and fourth-root symbols fit the given criteria.

Rightfully, no objection is made with 2 ln 3 and 2.3.
2 < 2.3 < 3; and
2 < 2.197224 < 3, and 2*ln 3 ~2.197224
Many functions, particularly trigonometric and hyperbolic functions (such as ArcTAN or, alternatively ATAN or tan^-1 for the arctangent function) and the above natural logrithmic function, use multi-characters that represent one symbol or are treated as a single symbol.
2 < 2*tan^-1 3 < 3; 2*tan^-1 3 ~= 2.498092
2 < 2*sec^-1 3 < 3; 2*sec^-1 3 ~= 2.461919


The following should be valid solutions:

2 <          2.3          < 3
             2 ln 3
        2 cube-root 3
        2 fourth-root 3
          2 ArcTAN 3
          2 ArcSEC 3

Edited on January 9, 2016, 11:53 pm

Posted by Dej Mar on 2016-01-09 02:07:18