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

zero (0), The positive natural numbers (1, 2, 3, ...), also called whole numbers or counting numbers, and Their additive inverses (the negative integers, i. e., - 1, - 2, - 3, ...)

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 }