49.7k views
2 votes
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

2 Answers

4 votes

Answer:

x > -9 and x < 9

Explanation:

User Eyalm
by
6.3k points
3 votes

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.

User RedBaron
by
7.3k points