What number can go into 68 and 100
2 answers:
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Set theory is the mathematical study of sets, which are well defined object collections
The description of the universal set and subset are as follows;
Universal set: = {x ∈ N | 0 < x < 8} = { 1, 2, 3, 4, 5, 6, 7}
Subset: Set A = {x ∈ N | 0 < x < 8, x is odd} = {2, 4, 6 }
The reason the above values are correct are as follows;
The universal set, is the set containing without repetition the elements of all sets that is related to it
From the diagram in the question, we have;
Universal set:
The universal set has all elements in the rectangular enclosed area, which are natural numbers, <em>N</em>, larger than 0, but less than 8
Therefore, we have;
- Universal set:
= {<u>1, 2, 3, 4, 5, 6, 7</u>}, which is the set of natural numbers between 1 and 7
∪ = {x ∈ N | 0 < x < 8}
Subset:
A set <em>A</em> which is a subset of a set <em>B</em> is such that all the set <em>B</em> has all the elements of the set <em>A</em>
A subset is given by the set of elements enclosed in the circular area, which is a located within in the rectangular figure representing the universal set and , which is the set of all even natural numbers, <em>N</em>, larger than 0, but less than 8
Therefore, we have;
- Subset: Set A = {<u>2, 4, 6</u> }, which is the set of even numbers between 1 and 7
A = {x ∈ N | 0 < x < 8, x is odd}
Learn more about about set theory here:
Alright, lets get started.
Here the dimensions of the room are given 10 yards by 18 feet.
We need to first convert this 18 feet into yards to make the units same.
3 feets = 1 yards
1 feet = yards
18 feet = yards
It means the dimensions of the room is 10 yards by 6 yards.
So, the carpet we need should be equal to the area of the room.
Area of the room is =
Area of the room = 60 square yards
Hence we need 60 square yards carpet for the room. : Answer
Hope it will help :)