turkey-yks 2019 Q11

turkey-yks · Other · yks-ayt Inequalities Ordering and Sign Analysis from Inequality Constraints

For distinct real numbers $a , b$ and $c$,
$$\begin{aligned} & a + b = | a | \\ & b + c = | b | \end{aligned}$$
equalities are given. Accordingly; what is the correct ordering of the numbers $\mathbf { a , b }$ and c?
A) a < b < c
B) a $<$ c $<$ b
C) b $<$ a $<$ c
D) b $<$ c $<$ a
E) c $<$ a $<$ b

For distinct real numbers $a , b$ and $c$,

$$\begin{aligned}
& a + b = | a | \\
& b + c = | b |
\end{aligned}$$

equalities are given.\\
Accordingly; what is the correct ordering of the numbers $\mathbf { a , b }$ and c?\\
A) a < b < c\\
B) a $<$ c $<$ b\\
C) b $<$ a $<$ c\\
D) b $<$ c $<$ a\\
E) c $<$ a $<$ b

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