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Ex 1.3, 2 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 = 2a ÷ (b + c) = 12 ÷ [(−4) + 2] = 12 ÷ [−4 + 2] = 12 ÷ −[4 − 2] = 12 ÷ (−2) = 𝟏𝟐/( −𝟐) = −6 (a ÷ b) + (a ÷ c) = [12 ÷ (−4)] + (12 ÷ 2) = 𝟏𝟐/( −𝟒) + 𝟏𝟐/𝟐 = (−12)/( 4) + 12/2 = −3 + 6 = 6 − 3 = 3 ∴ LHS ≠ RHS Hence verified

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo