Solve and graph the inequality: |x| < 3.
- print Print
- list Cite
Expert Answers
calendarEducator since 2010
write12,544 answers
starTop subjects are Math, Science, and Business
The inequality |x| < 3 can be written as
-3 < x < 3
To draw the graph of the inequality consider all points of x that lie between -3 and +3 but do not include -3 and +3.
This gives all the value that x can take as those that lie in the set (-3 , 3).
Related Questions
- Solve the inequality `|1/2 x-3| lt= 4`
- 2 Educator Answers
- Solve the inequality (2x-1)(x+2)<0
- 1 Educator Answer
- Solve the inequality (x+3)(2x-3)<0
- 1 Educator Answer
- solve for x if l 2x -3 l < 5
- 1 Educator Answer
- Solve the inequality : 2x+3 =< 13
- 2 Educator Answers
To solve the inequality, we'll have to apply the definition of the absolute value:
|x|<c <=> -c<x<c
For c = 3 => -3 < x < 3
We'll solve the simultaneous inequalities:
-3 < x and x < 3
-3 < x <=> x belongs to the range (-3 ; +infinite)
x < 3 <=> x belongs to the range (-infinite ; 3)
We'll intercept the intervals and the common solution for x is found in the opened interval (-3 ; 3).
Unlock This Answer Now
Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.
Student Answers