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] $