If a-24- b-4 and c-2 verify whether a- b - c - a - b - c

Step 1; Find the value of ( a ÷ b ) ÷ c ( a ÷ b ) ÷ c = ( 24÷ 4 ) ÷ 2_ = 6 ÷ 2 ...

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Distributive Property of Division

If a=24, b=4 ...

Question

If $a = 24, b = 4$ and $c = 2$ verify whether $(a \div b) \div c = a \div (b \div c)$

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Solution

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If A = {1, 2, 3}, B = {4} and C = {5}, then verify that :

(i) $A \times (B \cup C) = (A \times B) \cup (A \times C)$

(ii) $A \times (B \cap C) = (A \times B) \cap (A \times C)$

(iii) $A \times (B - C) = (A \times B) - (A \times C)$

Verify the cyclic symmetry of the following expressions if a, b and c are the variables:

(1) a(b − c) + b(c − a) + c(a − b)

(2) ab(a + b) + bc(b + c) + ca(c + a)

(3) a²b(a − b) + b²c(b − c) + c²a(c − a)

(4) a²(a + b) + b²(b + c) + c²(c + a)

(5) ab²(a − b) + bc²(b − c) + ca²(c − a)

A \subset B

A = {{a, b, c}}, B = {1, {a, b, c}, 2}

A = {1, 2, 3, 4, 5}, B = {2, 4, 6, 8}

{3, 4, 5, 6}

A - (B \cup C) = (A - B) \cap (A - C)

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