Question

Given universal set =
${\displaystyle \{-6,-5\frac{3}{4},-\sqrt{4},-\frac{3}{5},-\frac{3}{8},0,\frac{4}{5},1,1\frac{2}{3},\sqrt{8},3.01,\pi ,8.47\}}$

From the given set, find: set of integers

Answer 1

Given Universal set is

${\displaystyle \{-6,-5\frac{3}{4},-\sqrt{4},-\frac{3}{5},-\frac{3}{8},0,\frac{4}{5},1,1\frac{2}{3},\sqrt{8},3.01,\pi ,8.47\}}$

We need to find the set of integers.

Set of integers consists of zero, the natural numbers and their additive inverses.

The set of integers is Z.

Z = ${\displaystyle \{......-3,-2,-1,0,1,2,3,.......\}}$

Here, the set of integers is U ∩ Z = ${\displaystyle \{-6,-\surd 4,0,1\}}$