Question

The set of natural numbers x that satisfy x + 8 = 5

Answer 1

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:

$x+8=5$

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 $x$

We have:

$x+8=5$

Subtracting both sides by 8.

$x+8-8=5-8$

∴ $x=-3$

Thus, we get only one solution for $x$ 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 {}.