Question

Verify that a÷(b+c)≠(a÷b)+(a÷c)
for each of the following values of a,b and c
a=12,b=-4,c=2

Answer 1

Answer:

-6 ≠ 3

Step-by-step explanation:

please find the attached for your reference.

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Answer 2

Question

Verify that a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c) for each of the following values of a,b and c. a = 12,b = 4,c = 2.

Given

a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c)

• a = 12,b = 4,c = 2.

${ \underline{\large{ \bf{Putting \: the \: given \: values \: in \: L.H.S}}}}$

$\dashrightarrow{ \sf{ = 12 \div ( - 4 + 2)}} \\ \\ \dashrightarrow{ \sf{ = 12 \div ( - 2) = 12 \div}} { \huge{[}} { \sf{ \dfrac{ - 1}{2}}} { \huge{]}}$ $\sf{ = \dfrac{ - 12}{2} = - 6}$

${ \underline{\large{ \bf{Putting \: the \: given \: values \: in \: R.H.S}}}}$

$\dashrightarrow \sf{[12 \div ( - 4)] + (12 \div 2)}$

$\sf{ = { \huge{(}} \sf{12 \times \dfrac{ - 1}{4}{ \huge{)}}}} \sf{ \div 6 = 3 + 6 = 3}$

$\mathcal{Since,}$ L.H.S ≠ R.H.S.

${ \underline{\bf{Hence \: Verified}}}$