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Intersection of Sets

Given U is th...

Question

Given $U$ is the set of natural numbers between 11 and 19.

$A = {x : x is divisible by 3}$

$B = {12, 14, 15, 16}$

Find $A \cap B$ .

${14, 16}$

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${2, 14}$

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${12, 15}$

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${15}$

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Solution

The correct option is C
${12, 15}$

$A = {12, 15, 18}$

$B = {12, 14, 15, 16}$

$∴ A \cap B = {12, 15}$

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If the replacement set is the set of natural numbers, find the solution set for the given inequation, $1 + 9 x \geq x + 81$ .

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