Devhdesai6505idn
Answered

Find answers to your questions and expand your knowledge with IDNLearn.com. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

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

Sagot :

Hope my answer helped u :)
View image Ang12321
Mhanifaidn

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]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.