QUESTION 8Complete the proof of the following statement using the drop-down menu:(1.1Let A,=1, 1+for n =1, 2, 3, .. Then NA,=Ø.n=1v) Assume 1A, is not Ø.n=1pf. (byThen there exists an x € An. So x EAnn21.n=1Therefore X EA1, x EA2, x EA 3, ....Since x EA1=(1,2), we knowSince X >1, we know X-1>1By the AP, there exists an NEZ" such that 0<1Since

Answered: Image /qna-images/answer/87679e29-c787-4a1d-9279-fb9c226c5375.jpg

QUESTION 8 Complete the proof of the following statement using the drop-down menu: Let An 1+ for n 1, 2, 3, .. Then N A,= Ø. n=1 pf. (by )Assume 1 A, is not Ø. n=1 Then there exists an X € || An. So x EA, n21. n=1 Therefore X EA1, x EA2, x EA 3, ... Since x EA1=(1,2), we know Since X>1, we know X -1>[ By the AP, there exists an N EZ' such that 0< 1 Since