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Question: foundations of mathematics questions shown work would be appreciated...

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Foundations of mathematics questions. Shown work would be appreciated

Q1. Find the cardinality of the following set (ii). S-{ф} (iii). S-(ф,(ф) (vi). S-(ф, {0, 1], {2,3,4}} Q2. Define . Construct the elements of ii). Construct the elements of S2 (iii). Construct the elements of S1 U S2 (iv). Compute Card(S)
(). Construct the elements of S, (ii). Compute Card(S,) (b). Define S2 (IE ZI 5 Ini 73) Construct the elements of S2 (ii). Compute Card(S2) (c). Let A -(neN I n s 20) S1-(nEA | 2 divides n) S2 [nEA n is a prime number) Define o). Construct S, (i). Construct S2 (iii). Construct Si us2 (iv)Compute Card(Si) (v). Compute Card(S2) (vi). Compute Card(S, US2)
Q4. Compute the cardinality of the following sets (i). S1 = {neNI㎡--4} Q5. True or False Then Card(A) Card Card(B) (ii). IfA = (xeR 1-35 x < 5} Then BcA and Card(A) <Card(B) (iii). IfA = {xeQ1 x2--4 } Then Card(A)-Card(B) (iv). IfA xeN I x22) B = (xeR 1x2 = 21) Then Card(A U B) 1
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