5. Verify a X (bXc) = (aXb) X c by taking a= - 4/7 , b= 14/15 and c= - 3/4 .
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Answer:
put values of a b a nd c in lhs you get
-4/7(14/15×-3/4)
-4/7((-42/60))
-4/7(-7/10)
4/10
2/5
now put values in rhs
(-4/7×14/15)×(-3/4)
(-8/15)×(-3/4)
24/60
4/10
2/5
LHS=RHS. HENCE PROOVED
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LHS = -4/7 × [14/15 × (-3/4)]
= -4/7 × [14 × (-3)/15 × 4]
= -4/7 × -42/60
= 168/420 = 84/210
= 2/5
RHS =(-4/7 × 14/15) × -3/4
= (-4 × 14 / 7 × 15) × -3/4
= -56/105 × -3/4
= -56 × (-3) / 105 × 4
= 168/420 = 84/210
= 2/5
LHS = RHS
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