Linear Programming Question 96
Question: Which of the following is not true?
Options:
A) if $ -2<xthen| x |\ge 0 $
B) if $ x\le 3 $ then $ | x |\ge 0 $
C) if $ -3<x\le 4 $ then $ | x |\in [0,4] $
D) none of these
Show Answer
Answer:
Correct Answer: D
Solution:
if $ x>-2 $
$ \therefore -2<x<0 $ or $ 0\le x<\infty $
$ \Rightarrow 0<| x |<2 $ or $ | x |\ge 0 $
$ \Rightarrow | x |\ge 0 $ If $ x\le 3 $
$ \therefore -\infty <x\le 0 $
or $ 0<x\le 3 $
$ \Rightarrow | x |\ge 0 $
or $ 0<| x |\le 3 $
$ \Rightarrow | x |\ge 0 $ If $ -3<x\le 4 $
$ \therefore -3<x<0 $
or $ 0\le x\le 4 $
$ \Rightarrow 0<| x |<3 $ or $ 0\le | x |\le 4 $
$ \Rightarrow | x |\in [0,4] $
BETA
