5. Verify that a + (b + c) = (a + b) + c by taking a = 1/2
b = 3/4 and = -2/3
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Answer:
a + (b + c) = (a + b) + c
Explanation:
L. H. S. :
a + (b + c)
1/2 + [3/4 + (-2/3)]
1/2 + [(3*3-2*4) / 4*3]
1/2 + (9-8)/12
1/2 + 1/12
(1*6+2*1) / 12
(6+1)/12
7/12
R. H. S. :
(a + b) + c
(1/2 + 3/4) + (-2/3)
(1*2 + 3*1) /4 - 2/3
(2+3)/4 - 2/3
5/4 - 2/3
(5*3 - 2*4) / 4*3
(15-8) / 12
7/12
Hence L. H. S. = R. H. S
a + (b + c) = (a + b) + c
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