Answer
a) 11; b) 11; c) -14,11; d) $-14, -\dfrac{8}{9}, 0.4, \dfrac{5}{2},11$; e) $\sqrt 6$
Work Step by Step
We are given the set of numbers:
$\left\{11,-14,-\dfrac{8}{9},\dfrac{5}{2},\sqrt 6,0.4\right\}$
a) The set of natural numbers is $\{1,2,3,...\}$. The natural number in the set is:
$11$
b) The set of whole numbers is $\{0, 1,2,3,...\}$. The whole number in the set is:
$11$
c) The set of integer numbers is $\{..., -2,-1,0,1,2,...\}$. The integers in the given set are:
$-14,11$
d) The set of rational numbers contain all numbers that can be written in the form $\dfrac{p}{q}$, where $p,q$ are integers, $q\not=0$. The rational numbers in the given set are:
$-14, -\dfrac{8}{9}, 0.4, \dfrac{5}{2},11$
e) The irrational numbers are numbers which are not rational. The irrational number in the given set is:
$\sqrt 6$
