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

Which two numbers have a difference of 5 and a product of 3.36???
which city was located nearest the nile river delta
what other areas beside egypt did the new kingdom pharoahs conquer
Which two numbers have a difference of 5 and a product of 3.36???
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
If you are writing a persuasive essay in favor of banning vending machines in schools, which is a counterargument you might anticipate?
which city was located nearest the nile river delta
write words to match the expression. 24- ( 6+3)
what other areas beside egypt did the new kingdom pharoahs conquer