SOLUTION: The binary operation * is defined on real numbers as follows.
A*b = a + b- ab where a , b € real numbers.
A) show that there is an identity element with respect to *.
B) find
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Question 999114: The binary operation * is defined on real numbers as follows.
A*b = a + b- ab where a , b € real numbers.
A) show that there is an identity element with respect to *.
B) find the inverse for each element.
C) show that * is commutative.
D) solve a * ( a*2) = 10.
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
Not any A, but just a and b for the model.
Only doing identity element part.
Let e be identity element.
a*e=a+e-ae=a
a+e-ae=a
e-ae=a-a
e-ae=0
e(1-a)=0
e=0/(1-a)
e=0
The expression e*a should also be tested, but the identity element e seems to be the same as 0.
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