Linear Programming Question 89
Question: Which values of x satisfy the following inequalities simultaneously- (i) $ -3<2x-1<19 $ (ii) $ -1\le \frac{2x+3}{5}\le 3 $
Options:
A) $ [ -4,10 ) $
B) $ ( -1,6 ] $
C) $ [ -1,6 ) $
D) $ ( -1,6 ) $
Show Answer
Answer:
Correct Answer: B
Solution:
$ -3<2x-1<19 $
$ \Rightarrow -2<2x<20 $
$ \Rightarrow -1<x<10 $ … (i) $ -1\le \frac{2x+3}{5}\le 3 $
$ \Rightarrow -5\le 2x+3\le 15 $
$ \Rightarrow -8\le 2x\le 15 $
$ \Rightarrow -4\le x\le 6 $ … (ii) From (i) and (ii), common values of $ x $ are $ ( -1,6 ]. $
BETA
