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Intersection

Let A = x : x...

Question

Let $A = {x : x is a natural number and a factor of 18}$ and
$B = {x : x is a natural number and less than 6}$ .
If $A \cap B = {a, b, c}$ , then the value of $a + b + c$ is

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Solution

$A = {1, 2, 3, 6, 9, 18}$
$B = {1, 2, 3, 4, 5}$
$\Rightarrow A \cap B = {1, 2, 3} ∴ a + b + c = 1 + 2 + 3 = 6$

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Similar questions

A = {x : x is a natural number and a factor of 18}

B = {x : x is a natural number and less than 6}

A \cap B = {a, b, c}

a + b + c

If B = {1, 3, 5, 7, 9}, then set-builder representation of B is___________.

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

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