jordanyeargin25
jordanyeargin25 jordanyeargin25
  • 13-06-2018
  • Mathematics
contestada

Which of the following is the solution to | x -12 | < 15


A. X< 27
B. X<27 and x< -3
C. X < 27 or x > -3
D. X<27 and x > -3

Respuesta :

caylus
caylus caylus
  • 13-06-2018
Hello,
Answer D    -3<x<27
Indeed:
1)
if x-12≥0 then x≥12 and
|x-12|=x-12x-12<15 → x<27
so 12≤x<27
2) if x-12<0 then
x<12 and|x-12|=-(x-12)<15
-x+12<15-x<3 → x>-3
So -3<x<12
Thus -3<x<12  U 12≤x<27 ⇔ -3<x<27

Answer Link

Otras preguntas

Is 2 thirds equivalent to 6 tenths
What did agriculture lead to?
What is the area of the parallelogram? A. 48 square centimeters B. 28 square centimeters C. 12 square centimeters D. 24 square centimeters
chen is thinking of three numbers he says, the range is 5 the mode is 2 what are his three numbers
how do you convert 3/11 to a decimal equivalent using long division
What is the measure of the missing angle? Triangle with two angles labeled
is 0.9 0.06 11/20 0.21 greater than 1/2 or smaller
Which term identifies a type of nuclear reaction? A) transmutation B) neutralization C) deposition D) reduction
A farmer planted 0.4 of his field with corn seed, 0.25 with pumkin seed, and 0.1 with tomato seed. A) Find the portion of the field that was planted with corn o
Which field of education is most relevant to this job profile? Education: Bachelor’s degree Skills: XHTML, JavaScript Job duties: Developing mobile websites for