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Q. The inequality representing the following graph isMathematics Question Image

Linear Inequalities

Solution:

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, $-3< x< 3$
$\Rightarrow |x|< 3 (\because|x|< a \Leftrightarrow-a< x < a)$