GROUP 2 2) a) Use the notation {x : P(x)} , where P(x) is a propositional function, describe each for the following sets: 11 1 1 3'7'15 i) {1,2,3,4,5} ii) {3,6,9,15 . 27,30} ii) b) Given a relation R...


GROUP 2<br>2) a)<br>Use the notation {x : P(x)} , where P(x) is a propositional function,<br>describe each for the following sets:<br>11 1 1<br>3'7'15<br>i) {1,2,3,4,5} ii) {3,6,9,15 . 27,30} ii)<br>b)<br>Given a relation R from set A to set B, it's inverse relation R-1 is the relation<br>from B to A defined by xR - y if and only if vR« Let A = {1, 2, 3, 4} and let R<br>be<br>the relation on A defined by:<br>R= {(1, 2). (1, 4). (2, 2). (2, 3). (3, 4). (4, 3). (4, 4)}<br>(i)<br>(ii)<br>(iii) Describe the connection between the binary matrices of R and R-<br>List the ordered pairs of R1<br>Describe the connection between the directed graphs of R and R-1<br>

Extracted text: GROUP 2 2) a) Use the notation {x : P(x)} , where P(x) is a propositional function, describe each for the following sets: 11 1 1 3'7'15 i) {1,2,3,4,5} ii) {3,6,9,15 . 27,30} ii) b) Given a relation R from set A to set B, it's inverse relation R-1 is the relation from B to A defined by xR - y if and only if vR« Let A = {1, 2, 3, 4} and let R be the relation on A defined by: R= {(1, 2). (1, 4). (2, 2). (2, 3). (3, 4). (4, 3). (4, 4)} (i) (ii) (iii) Describe the connection between the binary matrices of R and R- List the ordered pairs of R1 Describe the connection between the directed graphs of R and R-1

Jun 04, 2022
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