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

x > -9 and x < 9

Explanation:

Answer 2

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

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.