If A- x- N - xis a multiple of 3 andB- x- N - is a multiple of 6- then A-B is equal to

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Definition of Sets

If A= x∈ N :...

Question

If A={ $x \in N$ : xis a multiple of 3} and
B={ $x \in N$ : is a multiple of 6}, then A-B is equal to

{6, 12, 18,.......}

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{3, 6, 9, 12,.........}

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{3, 9, 15, 21,.........}

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none of these

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Solution

The correct option is C {3, 9, 15, 21,.........}
$A = x ϵ N : x$ is a multiple of $3$ .
$A = 3, 6, 9, 12, 15, 18, . . . . . .$
$B = (x ϵ N : x$ is a multiple of $6)$
$B = 6, 12, 18, 24, . . . . . .$
$∴ A - B = (3, 9, 15, 21, . . . . .)$

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Similar questions

Let A = { $x : x ϵ N,$ x is a multiple of 3\)} and

B = { $x : x ϵ N$ and x is a multiple of 5}. Write $A \cap B$ .

If A = {3, 6, 9, 12, 15, 18, 21}
B = {2, 4, 6, 8, 10, 12, 14, 16}
C = {5, 10, 15, 20}

$\begin{matrix} A & B 1. B - C & A . {5, 10, 20} 2. A - C & B . {3, 9, 15, 21} 3. C - (A - B) & C . {3, 6, 9, 12, 18, 21} 4. C \cap (A - B) & D . {15} E . {2, 4, 6, 8, 12, 14, 16} \end{matrix}$

Q. If

n

is a multiple of

3,

then

C_{0} + C_{3} + C_{6} + \dots .

is equal to

Q. Let A = {x : x is an even natural number and 1< x

\leq

12} and
B = { x : x is a multiple of 3, x

ϵ

N and x

\leq

12} be two sets. Find A

\cap

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Q. Find the mode of the following data.

Number	$0 - 3$	$3 - 6$	$6 - 9$	$9 - 12$	$12 -$	$15 - 18$	$18 - 19$	$21 -$
Frequency	$4$		$9$	$7$	$6$	$3$	$1$

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If A={x∈N : xis a multiple of 3} andB={x∈N : is a multiple of 6}, then A-B is equal to

The correct option is C {3, 9, 15, 21,.........}A=xϵN:x is a multiple of 3.A=3,6,9,12,15,18,......B=(xϵN:x is a multiple of 6)B=6,12,18,24,......∴A−B=(3,9,15,21,.....)

If A={ $x \in N$ : xis a multiple of 3} and
B={ $x \in N$ : is a multiple of 6}, then A-B is equal to

The correct option is C {3, 9, 15, 21,.........}
$A = x ϵ N : x$ is a multiple of $3$ .
$A = 3, 6, 9, 12, 15, 18, . . . . . .$
$B = (x ϵ N : x$ is a multiple of $6)$
$B = 6, 12, 18, 24, . . . . . .$
$∴ A - B = (3, 9, 15, 21, . . . . .)$