Tool to give upper and lower bound of a number. The inequality chained notation a < b < c stands for a < b and b < c which describes a double inequality with a lower and upper bound of the number b.
Inequality Chained Notation - dCode
Tag(s) : Mathematics, Notation System
dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!
A suggestion ? a feedback ? a bug ? an idea ? Write to dCode!
Example: $ 1.23 $ rounded to one digit after decimal point to upper bound is $ 1.2 $, and $ 1.3 $ to lower bound. The representation with a double inequality is $$ 1.2 < 1.23 < 1.3 $$
dCode find the upper bound and the lower bound of the number according to the required accuracy. Inequality is strict by default, but can sometimes introduce less than or equal signs.
Inequalities display the boundaries in order from the smallest to the biggest limit. But it is possible to write them in reverse $$ 1.3 > 1.23 > 1.2 $$
A domain of definition of a function is equivalent to an equality:
Example: $ x \in [0,1[ \iff 0 \leq x < 1 $
Example: $ x \in ]1,2] \iff 1 < x \leq 2 $