Question

C = {2x : x+1 is a prime number less than 10}, Write in Tabular form

PLEASE GIVE PROPER EXPLANATION

Answer 1

Required Answer:-

Given Set:

• C = {2x : x + 1 is a prime number less than 10}

To Do:

• Display the set in tabular form.

Solution:

Given set,

→ C = {2x : x + 1 is a prime number less than 10}

→ Prime numbers from 1 to 10 are - {2, 3, 5, 7}

So, if x + 1 is a prime number less than 10, then,

→ x + 1 ∈ {2, 3, 5, 7}

→ x ∈ {2 - 1, 3 - 1, 5 - 1, 7 - 1}

→ x ∈ {1, 2, 4, 6}

So,

→ C = {2x : x ∈ {1, 2, 4, 6}}

→ C = {2, 4, 8, 12}

Answer:

• C = {2, 4, 8, 12}