Equations And Inequalities Question 40
Question: The inequality representing the following graph is
Options:
A) $ | x |<3 $
B) $ | x |\le 3 $
C) $ | x |>3 $
D) $ | x |\ge 3 $
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] The shaded region in the figure lies between $ x=-3 $ and $ x=3 $ not including the line $ x=-3 $ and $ x=3 $ (lines are dotted) Therefore $ -3<x<3 $
$ \Rightarrow | x |<3 $ $ [\because ,| x |<a\Leftrightarrow -a<x<a] $