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

Options

• True

• False

Answer 1

This statement is True.

Explanation:

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.

So, T ⊂ R