If d is the set of all integers greater than 3, and e is the set of all integers less than 3^2 how many integers are there on both sides

In both there are total Five integers.

i.e D∩E ≡ { 8 ,7 ,6 ,5 ,4 }

Step-by-step explanation:

Set:

A set in mathematics is a collection of well defined and distinct objects, also consist of a collection of elements.

Integers:

Integer is a whole number; a number that is not a fraction.

The set of integers consists of

Given:

D is the set of all Integer greater than  3

D = { 4 ,5 , 6, 7, 8 ,9 ,10 , 11, }

E is the set of all integers less than 3^2 = 9

E = { 8 ,7 ,6 ,5 ,4, 3, 2, 1 ,0 ,-1 ,-2 ,}

To Find:

how many integers are there on both sides

i.e D∩E ≡ ?

Solution:

So in both means Intersection i.e

D∩E ≡ { 8 ,7 ,6 ,5 ,4 }

In both there are total Five integers.

i.e D∩E ≡ { 8 ,7 ,6 ,5 ,4 }