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

I need a 75 word Radio Ad on Why Technology should be kept in a schools budget.
Jane was surprised that Jacob bought lunch for ___
What was the turning point of the war in the pacific?.
14. The period key term in retail for a period of time that an item remains usable, or fit for consumption is called: A. Expiration B. Spoiled OC. Inventory D.
Which of the following choices is an example of agricultural biotechnology? A) Farmers use radar to predict storms. B) Farmers cross-breed two species of cows t
Find the area of the shape. Either enter an exact answer in terms of it or use 3.14 for TT and enter your answer as a decimal.
What is the molarity of a solution prepared by dissolving.
Find each value or measure. Assume that segments that appear to be tangent are tangent.
Who benefits directly when teens wait until adulthood to become parents? Select three options.
Pls help me with this! Thank you! God bless you