Answer:
In both there are total Five integers.
i.e D∩E ≡ { 8 ,7 ,6 ,5 ,4 }
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 }