Question

MAT 255/E2 | Discrete Mathematics Question 8 Let A, B, and S be finite sets. Which of the following statements is true? Not yet answered O a. If |AL < 1B[ then |P(A)| < |P(B) Marked out of 1.00 O b. if A e B then ALBI P Flag question O ces d. if Ac B then Als B1 o e, if|AL = |B| then ACB Previous page

Answer 1

Let Al=m & 181-m. man * IP (A) = 2m & IP(B)1 = 9 <2" a) thus, IAL < 1B) → IPLAD] <1P[B]) b), d). Let A- {1,23. {1,2}. B- AGB & 1Al=2 &181=2 Al & IB) but Als lol. → e). let {1,2} B = {2,3,4}. (Al-2 , 1B1 = 3 LAISIBI but A&B. is subset of Since it contains { } CS Empty set sed every no element → CS Scanned with CamScanner