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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
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Solution
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
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