State True or False for the following statement-Let sets R and T be defined as R-x - - -x is divisible by 2T-x - - -x is divisible by 6-Then T - R-

To check : If nbsp; R={x ∈ ℤ |x is divisible by 2} T={x ∈ ℤ |x is divisible by 6}. Then T ∈ R R={... . 8, 6, 4, 2, 0,2,4,6,8,...} T={... . 18, 12, 6,0,6,12, ...

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Byju's Answer

Standard XII

Chemistry

Heat Capacity

State True or...

Question

State True or False for the following statement.

Let sets $R$ and $T$ be defined as
$R = {x \in Z | x is divisible by 2}$
$T = {x \in Z | x is divisible by 6} .$

Then $T \in R .$

True

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False

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Solution

The correct option is A True
To check : If $R = {x \in Z | x is divisible by 2}$
$T = {x \in Z | x is divisible by 6} .$
Then $T \in R$

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

$T = {. . . . - 18, - 12, - 6, 0, 6, 12, 18, . . .}$

$∴ T \subset R$ as every element of $T$ is present in $R$ .
Hence,the given statement is true.

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Heat Capacity

Standard XII Chemistry

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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.

The correct option is A TrueTo check : If R={x ∈ Z |x is divisible by 2} T={x ∈ Z |x is divisible by 6}. Then T ∈ R R={....−8,−6,−4,−2,−0,2,4,6,8,...} T={....−18,−12,−6,0,6,12,18,...} ∴ T ⊂ R as every element of T is present in R. Hence,the given statement is true.

State True or False for the following statement.

Let sets $R$ and $T$ be defined as
$R = {x \in Z | x is divisible by 2}$
$T = {x \in Z | x is divisible by 6} .$

Then $T \in R .$