Question

Which of the following sets is equal to {1, 2, 3, ...}?

Answer 1

the first 2 are all real nmbers, but real number include decimals and fractions so no

the last one is all natural numbers which are 1,2,3,4...
answer is the last one

Answer 2

The correct option is 3) {x I x∈N ,x ≥ 1}

Explanation:

we need to choose the correct option for the set is equal to {1, 2, 3, ...}

first option the set {x I x∈R ,x > 1}

In this set it includes all real numbers which are greater than 1

since 1 is not included

so, this is not correct option.

second option the set {x I x∈R ,x ≥ 1}

In this set it includes all real numbers which are greater than or equal to 1

In this set 1 is not included but real numbers includes fraction number also

so, this is not correct option.

Third option the set {x I x∈N ,x ≥ 1}

In this set it includes all natural numbers which are greater than or

equal to 1

so, the set contains {1, 2, 3, ...}

Therefore, the correct option is 3) {x I x∈N ,x ≥ 1}