Ifa= 5,b= 7,c= 3 Prove (a+b) +c=a+ (b + c) and name the property.

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Solution

$L . H . S = (a + b) + c = (5 + 7) + 3 = 12 + 3 = 15 R . H . S = a + (b + c) = 5 + (7 + 3) = 5 + 10 = 15 hence; L . H . S = R . H . S$
This property is called as associative property of addition.

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Q. Verify the property

a \times (b + c) = (a \times b) + (a \times c)

When

a = \frac{1}{2}, b = \frac{3}{7} & c = \frac{5}{14}

If
A = {1, 2, 3, 4}

B = {3, 4, 5, 6, 7}

C = {6, 7, 8, 9}

D = {7, 8, 9, 10}

$\begin{matrix} C o l u m n A & C o l u m n B 1. A \cup B & a . {3, 4, 6, 7} 2. A \cap B & b . \emptyset 3. (B \cap C) \cup D & c . {3, 4} 4. B \cup C \cup D & d . {3, 4, 5, 6, 7, 8, 9, 10} 5. (A \cap B) \cap (B \cup C) & e . {1, 2, 3, 4, 5, 6, 7} f . {6, 7, 8, 9, 10} g . {7} \end{matrix}$