turkey-yks 2014 Q12

turkey-yks · Other · lys1-math Modulus function Algebraic identities and properties of modulus

For real numbers $a$ and $b$, it is known that $( | a | - a ) ( | b | + b ) > 0$.
Accordingly, I. $a + b < 0$ II. $a - b < 0$ III. $\mathrm { a } \cdot \mathrm { b } < 0$ Which of the following statements are always true?
A) Only I
B) Only II
C) I and III
D) II and III
E) I, II and III

For real numbers $a$ and $b$, it is known that $( | a | - a ) ( | b | + b ) > 0$.

Accordingly,\\
I. $a + b < 0$\\
II. $a - b < 0$\\
III. $\mathrm { a } \cdot \mathrm { b } < 0$\\
Which of the following statements are always true?\\
A) Only I\\
B) Only II\\
C) I and III\\
D) II and III\\
E) I, II and III

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