Question

Question 8 (1 point) Which of the following sets is equal to {1,3}? o {2x + 1 € Z1-3 < x² < 3} {x² + 1 € Z|XE Z and x < 2} . o {x E N | 2x + 1 <2} o {x? EN|0 < 2x +1 < 3} O None of the above

Answer 1

® Given set is {1,33 now we check one by one which is equal to [1, 33 . set 6 {2x+1 EZ 1-3 cx²<3} Here.. -3 < x² <3 - 53< X </3 ce.it 0.5 E (-3, 5) now, 2 xt1 for x=0.5 200.5) +1 1+1 = 2 Since 2 ² 11,33 (2.621] - ie. 2 does not belong {1,33 I Hence, 2x + 1 € 20 1-3 < x² < 33 is not equal to 11:33 lao {x²+1 E2 l xf2 and u<2} XE 21 and u<2 cie. let x = -5 now, x² + 1 for Ka-5, we have (-5) 2 + 1 = -25 al = -24 E 21 But -24 does not belongs to $1,33 Hence x²+1 E ZI I XE 2 and x<2} {s not equal to 11133

LGD EXE IN 1 2x+1 <2} 2ut1 < 2 = 2 x + 1-2ko - au-l so Critical point is 20-1=0 & 2n=1 2 uzl 2 I So 5กก Critical point 18 is n=1 - 2 lie. x6 (-xit I leasly 3 does not belong to 2 p-0021 Also, 10 € (-ost is not IN. 21 I go, ruf N 120+1 <2} is not equal to 91,33 Gv) XPEIN 10C2X+1 <33. 0 < 2x+1 < 3 0-1 < 2x +1 -1 < 3-|| -1 < 2 x 2 s ! < x < 1 on 4

I Clearly (11) does not N. Hence, 5x²E INL oc 2X+1 < 3} is not equal to 11,33 . None of the above le. there is no set in the given оръәл осы f ea La » Ч37 - Hence, answer is to o none of the above
i have tried my best to solve this problem but still if you have any doubt regarding this question then please comment.