Question

Verify that a÷(b+c)≠(a÷b)+(a÷c) for each of the following values of a,b,c.
A. a=(12), b=3, c=-1
B. a=6, b.=(-2), c=1.

Answer 1

Given :  a÷(b+c)≠(a÷b)+(a÷c)

To Find : Verify  for each of the following values of a,b,c.

A. a=(12), b=3, c=-1

B. a=6, b.=(-2), c=1.

Solution:

a÷(b+c)≠(a÷b)+(a÷c)

A. a=(12), b=3, c=-1

LHS  =  a÷(b+c)

= 12 ÷(3-1)

=  12 ÷ 2

= 6

RHS  = (a÷b)+(a÷c)

= (12÷3)+(12÷(-1))

= 4 - 12

= - 8

6 ≠ - 8

Verified that

a÷(b+c)≠(a÷b)+(a÷c)

B. a=6, b=-2 c= 1

LHS  =  a÷(b+c)

= 6 ÷(-2+1)

=  6 ÷ (-1)

= -6

RHS  = (a÷b)+(a÷c)

= (6÷(-2))+(6÷( 1))

= -3  +6

= 3

-6 ≠ 3

Verified that

a÷(b+c)≠(a÷b)+(a÷c)

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