Question

Which answer is the solution set to the inequality |x|<9? A. X<-9 or x>9 B. X>-9 and x<9 C. X>-9 or x<9 D. X<9 and x<9

Answer 1

Answer: B. x > -9 and x < 9

Step-by-step explanation:

Since, Here,

$|x| < 9$

⇒ $x < 9 \text{ and }- x < 9$ (Because, $|x| =\pm x$  )

⇒ $x < 9 \text{ and } -(-x)> -9$   (Because, a < b ⇒ -a > -b )

⇒ $x < 9 \text{ and } x > - 9$

⇒ $-9 < x < 9$

Thus, Option B is correct.

Answer 2

Answer:

x > -9 and x < 9

Step-by-step explanation: