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Question 2b V...

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Question 2(b)
Verify that $a \div (b + c) \neq (a \div b) + (a \div c)$ for each of the following values of a, b and c.
a = (- 10), b = 1, c = 1

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Solution

$a = - 10, b = 1, c = 1 a \div (b + c) = (- 10) \div (1 + 1) = (- 10) \div 2 = - 5 (a \div b) + (a \div c) = [(- 10) \div 1] + [(- 10) \div 1] = - 10 - 10 = - 20 H e n c e, a \div (b + c) \neq (a \div b) + (a \div c)$

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Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a, b and c.

(a) a = 12, b = −4, c = 2

(b) a = (− 10), b = 1, c = 1

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Question 2(a)
Verify that $a \div (b + c) \neq (a \div b) + (a \div c)$ for each of the following values of a, b and c.
a = 12, b = - 4, c = 2

a \div (b + c) \neq (a \div b) + (a \div c)

A = [\begin{matrix} 1 & 2 & 0 \\ - 1 & 0 & 1 \end{matrix}], B = [\begin{matrix} 1 & 0 \\ - 1 & 2 \\ 0 & 3 \end{matrix}] and C = [\begin{matrix} 1 \\ - 1 \end{matrix}]

A = [\begin{matrix} 4 & 2 & 3 \\ 1 & 1 & 2 \\ 3 & 0 & 1 \end{matrix}], B = [\begin{matrix} 1 & - 1 & 1 \\ 0 & 1 & 2 \\ 2 & - 1 & 1 \end{matrix}] and C = [\begin{matrix} 1 & 2 & - 1 \\ 3 & 0 & 1 \\ 0 & 0 & 1 \end{matrix}]

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