Answer:
The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.
Step-by-step explanation:
Given equation:
[tex]x+8=5[/tex]
To find the set of natural numbers that satisfies the above equation.
Solution:
In order to find the set of solutions for the equation, we will solve it for [tex]x[/tex]
We have:
[tex]x+8=5[/tex]
Subtracting both sides by 8.
[tex]x+8-8=5-8[/tex]
∴ [tex]x=-3[/tex]
Thus, we get only one solution for [tex]x[/tex] that satisfies the given equation but it is not a natural number. -3 is an integer.
Set of natural numbers {1,2,3,4,5,6........}
Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.
There is no set of natural numbers of x that satisfy the condition for x + 8 = 5
Natural numbers (n) are set of numbers that are only positive numbers. They are used in mathematical counting and ordering.
Examples includes:
From the given parameters, only an integer can satisfy the given condition. This is because an integer can be a positive or negative number.
i.e
By adding (-8) to both sides, we have:
x + 8 - 8 = 5 - 8
x = -3
Learn more about natural numbers here:
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