3. Verify that a ÷ (b + c) ≠ ( a ÷ b) + ( a ÷ c) for a =20 ,b =(-10),c =5
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To solve this question, you simply have to substitute the values.
a = 20 ; b = (-10) ; c = 5
∴ a ÷ (b + c) ≠ (a ÷ b) + (a ÷ c)
⇒ 20 ÷ ((-10) + 5) ≠ (20 ÷ (-10)) + (20 ÷ 5)
Now, solve the L.H.S. (Left-Hand-Side) and the R.H.S. (Right-Hand-Side) and verify the statement.
L.H.S. = 20 ÷ ((-10) + 5) = 20 ÷ (-5) = (-4)
R.H.S. = (20 ÷ (-10)) + (20 ÷ 5) = (-2) + 4 = 2
Clearly, (-4) and 2 are not equal.
∴ The statement is verified.
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