C0MMAND0
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Which of the following has a solution set of {x | x = 0}?
(x + 1 < -1) ∩ (x + 1 < 1)

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)

(x + 1 < 1) ∩ (x + 1 > 1)​

Sagot :

Step-by-step explanation:

Middle option.

(x + 1 ≤ 1) ∩ (x + 1 ≥ 1)

If you work both sides separately you get

(x ≤ 0) ∩ (x ≥ 0)

which reduces nicely to

{x | x = 0}

Let's check one by one

#1

[tex]\\ \sf\longmapsto x+1<-1\implies x<-2[/tex]

[tex]\\ \sf\longmapsto x+1<1\implies x<0[/tex]

  • Rejected

#2

[tex]\\ \sf\longmapsto x+1\leqslant 1\implies x\leqslant 0[/tex]

[tex]\\ \sf\longmapsto x+1\geqslant 1\implies x\geqslant 0[/tex]

Option B is correct

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.