Let sets R and T be defined as R = {x ∈ Z | x is divisible by 2} T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R

Question

State True or False for the following statement:

Let sets R and T be defined as 

R = {x ∈ Z | x is divisible by 2} 

T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R

Answer 1

True

R and T can be represented in roster form as follows:

R = {…,-8, -6, -4, -2, 0, 2, 4, 6, 8,….}

T = {…,-18, -12, -6, 0, 6, 12, 18,….}

Since, every element of T is present in R

T ⊂ R

So, the given statement is true.