SOLUTION: Let a and b be any real numbers. Define a*b to be 2a+b. Which of the following is the largest? 1*(2*(3*4)) ((1*2)*3)*4 (1*(2*3))*4 They are equal

Algebra ->  Expressions-with-variables -> SOLUTION: Let a and b be any real numbers. Define a*b to be 2a+b. Which of the following is the largest? 1*(2*(3*4)) ((1*2)*3)*4 (1*(2*3))*4 They are equal      Log On


   

Question 388843: Let a and b be any real numbers. Define a*b to be 2a+b. Which of the following is the largest?

1*(2*(3*4))
((1*2)*3)*4
(1*(2*3))*4
They are equal
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let a and b be any real numbers. Define a*b to be 2a+b. Which of the following is the largest?
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1*(2*(3*4))
= 1*(6+4) = 1*10 = 2+10 = 12
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((1*2)*3)*4
= ((4)*3)*4
= (13*4)
= 30
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(1*(2*3))*4
= (1*(7)*4)
= 9*4
= 22
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Cheers,
Stan H.
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They are equal