If $x=-6$, which of the following is greatest in value?
(A) $2+x$
(B) $2-x$
(C) $x-1$
(D) $x$
(E) $x \div 2$
Substituting $x=-6$ into each expression and evaluating, we get
(A) $2+x=2+(-6)$
(B) $2-x=2-(-6)$
(C) $x-1=-6-1$
$=-4$
$=2+6$
$=-7$
$=8$
(D) $x=-6$
(E) $x \div 2=(-6) \div 2$
$=-3$

Of these, $2-x$ gives the greatest value when $x=-6$.

ANsWER: (B)