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

Choose the correct simplification of the expression 2 b over c all to the power of 3
A human's most rapid growth, both physically and mentally, occurs between a0 and a1 years old.
Inside the lungs are sac-like objects called ______.
The day I failed Geometry, crashed into the garage door, and broke my arm was not the best day of my life. This sentence is an example of _____.
Aunque _____ el uso de los coches en la ciudad, el aire va a seguir contaminado. Please Help!!! A. limiten B. limitan C. limitaron D. limitaban
A population includes..? A) all the habitats in a ecosystem B) all the members of a specific species that live in an area C) several different kinds of specie
Which unit of measure is most appropriate for measuring the area of a driver's license
Early christian music was most strongly influenced by:
A local pizzeria offers 14 toppings for their pizzas and you can choose any 5 of them for one fixed price. How many different types of pizzas can you order with
England and Spain went to war in the 1560s because Spain demanded