SAT Math Practice Question #24960 - SATify | SATify

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SAT Math Practice Question #24960 - SATify | SATify

#24960

algebra

functions

medium

90 sec

Define $x ⋆ y$ to be $max (x, y)$ for all real numbers $x$ and $y$ . Which of the following statements is not true?

A.

$x ⋆ y = y ⋆ x$ for all $x$ and $y$

B.

$x ⋆ x = x$ for all $x$

C.

$x ⋆ 0 = x$ for all $x$

D.

$x ⋆ y \geq x$ for all $x$ and $y$

E.

If $x ⋆ y = y$ , then $x \leq y$