Question

If $x=\frac{-4}{11}$, then which of the following rational number lie between $x$ and $|x|$ ?

• A. $\frac{7}{13}$
• B. $\frac{-11}{15}$
• C. $\frac{-2}{11}$
• D. $\frac{2}{11}$

Answer 1

Answer: (C), (D)

Given: Now,
(a) $\frac{7}{13}=0.538$ Which does not lie between $x$ and $|x|$
(b) $\frac{-11}{15}=-0.733$ Which does not lie between $x$ and $|x|$
(c) $\frac{-2}{11}=-0.182$ Which lies between $x$ and $|x|$
(d) $\frac{2}{11}=0.182$ It also lies between $x$ and $|x|$