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horsena [70]
3 years ago
6

Write the elements belonging to the set {x|x is a natural number less than 10

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

The set A = { 1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the set

 { x/x/ is a natural number less than 10 }

<u><em>Natural numbers :</em></u>

The natural numbers are

          { 1,2,3,4,5,6,7,8,9,10,.........}

The set A =  { x/x/ is a natural number less than 10 }

The set A = { 1,2,3,4,5,6,7,8,9}

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Add 1 to both sides:

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In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that

x+1 \geq 0 \iff x \geq -1

Under this assumption, we square both sides and we have

x+3 = (x+1)^2 \iff x+3 = x^2+2x+1 \iff x^2+x-2 = 0

The solutions to this equation are

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In fact, we have

x=-2 \implies \sqrt{-2+3}-1=0\neq -2

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Answer:

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