Answer: B. x > -9 and x < 9
Step-by-step explanation:
Since, Here,
[tex]|x| < 9[/tex]
⇒ [tex]x < 9 \text{ and }- x < 9[/tex] (Because, [tex]|x| =\pm x[/tex] )
⇒ [tex]x < 9 \text{ and } -(-x)> -9[/tex] (Because, a < b ⇒ -a > -b )
⇒ [tex]x < 9 \text{ and } x > - 9[/tex]
⇒ [tex]-9 < x < 9[/tex]
Thus, Option B is correct.
