Mark the correct alternative in each of the following:

Question:

Mark the correct alternative in each of the following:

The inequality representing the following graph is 

(a) $|x|<3$

(b) $|x| \leq 3$

(c) $|x|>3$

 

(d) $|x| \geq 3$

Solution:

As according to the graph,

$x$ lies between $-3$ and 3

$\Rightarrow-3 \leq x \leq 3$

 

$\Rightarrow|x| \leq 3$

Hence, the correct option is (b).

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