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smc

prealgebra senior

Problem

Define to be for all real numbers and . Which of the following statements is not true?
(A) for all and
(B) for all and
(C) for all
(D) for all
Solution
We start by looking at the answers. Examining statement C, we notice: when , but statement C says that it does for all . Therefore the statement that is not true is
Final answer
C