devhdesai6505
devhdesai6505 devhdesai6505
  • 02-08-2021
  • Mathematics
contestada

The number of solutions of |x - 1| + |x - 3| = 2 is​

Respuesta :

ang12321 ang12321
  • 02-08-2021
Hope my answer helped u :)
Ver imagen ang12321
Answer Link
mhanifa
mhanifa mhanifa
  • 02-08-2021

Answer:

There are 3 intervals as following:

x ≤ 1

  • -(x - 1) - (x - 3) = 2
  • -2x + 4 = 2
  • 2x = 2
  • x = 1

1 ≤ x ≤3

  • (x - 1) - (x - 3) = 2
  • 2 = 2,
  • any value of x in the same interval

x ≥ 3

  • (x - 1) + (x - 3) = 2
  • 2x - 4 = 2
  • 2x = 6
  • x = 3

Combining the all, we get:

  • 1 ≤ x ≤3 or
  • x = [1, 3]
Answer Link

Otras preguntas

A 3.7 kg object is lifted to a Hight of 3 meters what is the potential energy of this object
What what handels full name
What what handels full name
How do tussock moths obtain energy in cellular respiration?
in a geometric series t1=23,t3=92 and the sum of all of the terms of the series is 62813. How many terms are in the series
how did jazz demonstrate the independent spirit of the times?
There are 5 red balls,6 white balls and 7 green balls in a box.If one ball is taken without looking,what is the probability that it is white?
how do i make 24 using the numbers 11 6 10 2?
determine whether each expression is meaningful as  a real number  yes or no?   -√9
solve for m (r=3m+3z) solution is m=___, use integers or fractions for any numbers in the expression (simplify answer) please help