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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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Similar questions

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

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

1, 3, 5

1, 2, 3

a, e, i, o, u

a, b, c

x : x

3

x : x

6

1 < x \leq 6

B = ϕ

(i) x = {1, 3, 5}, y = {1, 2, 3}

(i i) A = {a, e, i, o, u}, B = {a, b, c}

(i i i) A = {x : x is a natural number and multiple of 3} B = {x : x is a natural number less than 6}

(i v) A = {x : x is a natural number and 1 < x \leq 6} B = {x : x is a natural number and 6 < x < 10}

(v) A = {1, 2, 3}, B = ϕ

Find the union of each of the following pairs of sets :

(i) X = {1, 3, 5} and Y = {1, 2, 3}

(ii) A = {a, e, i, o, u} and B = {a, b, c}

(iii) A = {x : x is a natural number and multiple of 3} and B = {x : x is a natural number less than 6}

(iv) A = {x : x is a natural number and 1 < x $\leq$ 6} and B = {x : is a natural number and 6 < x < 10}

(v) A = {1, 2, 3} and $B = Φ$

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