Question

5. Verify that a + (b + c) = (a + b) + c by taking a = 1/2
b = 3/4 and = -2/3​

Answer 1

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