4. Verify x + (y + z) = (x + y) + z for following values of x, y and z.
(li) X = -3/5 =-5/6, z=-7/ 9
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LHS = x + ( y + z )
= –3 / 5 + ( – 5 / 6 – 7 / 9 )
= – 3 / 5 + [ ( – 5 ×3 – 7 × 2 )/ 18 ]
= – 3 / 5 + [ ( –15 – 14 / 18 ]
= – 3 / 5 + [ – 29 / 18 ]
= ( – 3 × 18 – 29 × 5 ) / 90
= – 54 – 145 / 90
= – 199 / 90
RHS = ( x + y ) + z
= ( –3 / 5 – 5 / 6) – 7 / 9
= [ ( – 3×6 – 5 × 5 ) / 30 ] – 7/9
= [ ( – 18 – 25 ) / 30 ] – 7/9
= [ ( – 43 ) /30 ] – 7/9
= (–43×3 – 7 × 10 ) / 90
= ( – 129 – 70 ) /90
= ( – 199 ) / 90
LHS = RHS
hence verified.
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