For nonnegative integers x, y, and z, let [X|Y|Z] be defined by [X|Y|Z] = x(x+z). Which of the following is true?
(The brackets are just boxes.)
A. [4|2|2] = [2|4|2]
B. [3|2|2] = [2|3|2]
C. [2|3|2] = [2|2|3]
D. [1|5|3]= [3|5|1]
E. [0|1|1]= [1|0|1]
(The brackets are just boxes.)
A. [4|2|2] = [2|4|2]
B. [3|2|2] = [2|3|2]
C. [2|3|2] = [2|2|3]
D. [1|5|3]= [3|5|1]
E. [0|1|1]= [1|0|1]
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[4|2|2] = 4(4+2) = 24 whereas [2|4|2] = 2(2+2) = 8 so A is false.
[3|2|2] = 3(3+2) = 15 whereas [2|3|2] = 2(2+2) = 8 so B is false.
[2|3|2] = 8 (computed already) and |2|2|3] = 2(2+3) = 10 so C is false.
[|1|5|3] = 1(1+3) = 4 and [3|5|1] = 3(3+1) = 12 so D is false.
[0|1|1] = 0(0+1) = 0 and [1|0|1] = 1(1+1) = 1 so E is false.
None of them are true! And there is no way to answer these besides just using the definition to calculate each [x|y|z].
[3|2|2] = 3(3+2) = 15 whereas [2|3|2] = 2(2+2) = 8 so B is false.
[2|3|2] = 8 (computed already) and |2|2|3] = 2(2+3) = 10 so C is false.
[|1|5|3] = 1(1+3) = 4 and [3|5|1] = 3(3+1) = 12 so D is false.
[0|1|1] = 0(0+1) = 0 and [1|0|1] = 1(1+1) = 1 so E is false.
None of them are true! And there is no way to answer these besides just using the definition to calculate each [x|y|z].