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State True or False for the following statement. Let sets R and T be defined asR = {x ∈ Z | x is divisible by 2} T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R - Mathematics

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प्रश्न

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

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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अध्याय 1: Sets - Exercise [पृष्ठ १८]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 1 Sets
Exercise | Q 57 | पृष्ठ १८

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