Equations And Inequalities Question 43
Question: If $ 5{x}=x+[x] $ and $ [x]-{x}=\frac{1}{2} $ when $ {x} $ and $ [x] $ are fractional and integral part of x then x is
Options:
A) $ \frac{1}{2} $
B) $ \frac{3}{2} $
C) $ \frac{5}{2} $
D) $ \frac{7}{2} $
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ 5{x}=x+[x]and[x]-{x}=\frac{1}{2} $ Since $ x=[x]+{x}\Rightarrow 4{x}=2[x] $ and $ [x]-{x}=\frac{1}{2} $ after solving $ [x]=1 $ and $ {x}=\frac{1}{2}\therefore x=1+\frac{1}{2}=\frac{3}{2}. $
BETA
