MTK logika matematika

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Bila anda ingin mengunduh filenya klik disini

Soal  !!!!!!

1.       1. ~ ( P V Q ) = ~ P /\ Q

2.       2. ~ ( P /\ Q ) = ~ P V Q

3.       3. ( P V Q ) V R = P V ( Q V R )

4.       4. ( P /\ Q ) /\ R = P /\ ( Q /\ R )

5.       5. ( P V Q ) /\ R = ( P V Q ) /\ ( P V R )

Jawaban !!!!!!

1.       1. ~ ( P V Q ) = ~ P /\ Q

P	Q	~P	~Q	~( P V Q )	~P /\ Q
B	B	S	S	S	S
B	S	S	B	S	S
S	B	B	S	S	S
S	S	B	B	B	B

                                                    

                                                                                   |                      |

                                                     ~ ( P V Q ) = ~ P /\ Q

2.       3. ~ ( P /\ Q ) = ~ P V Q

P	Q	~P	~Q	~( P /\ Q )	~P V Q
B	B	S	S	S	S
B	S	S	B	B	B
S	B	B	S	B	B
S	S	B	B	B	B

                                                                                  |                       |

           ~ ( P /\ Q ) = ~ P V Q

3.       3. ( P V Q ) V R = P V ( Q V R )

P	Q	R	P V Q	Q V R	( P V Q ) V R	P V ( Q V R )
B	B	B	B	B	B	B
B	B	S	B	B	B	B
B	S	B	B	B	B	B
B	S	S	B	S	B	B
S	B	B	B	B	B	B
S	B	S	B	B	B	B
S	S	B	S	B	B	B
S	S	S	S	S	S	S

                                                                                          |                         |

                                                   ( P V Q ) V R = P V ( Q V R )

4.       4. ( P /\ Q ) /\ R = P /\ ( Q /\ R )

P	Q	R	P /\ Q	Q V R	( P V Q ) V R	P V ( Q V R )
B	B	B	B	B	B	B
B	B	S	B	S	S	S
B	S	B	S	S	S	S
B	S	S	S	S	S	S
S	B	B	S	B	S	S
S	B	S	S	S	S	S
S	S	B	S	S	S	S
S	S	S	S	S	S	S

                                                                                                |                         |

                                                          ( P /\ Q ) /\ R = P /\ ( Q /\ R )

5.       5. ( P V Q ) /\ R = ( P V Q ) /\ ( P V R )

   

$0A
$3Ctr style="mso-yfti-irow: 3;">

P	Q	R	P /\ Q	Q V R	( P V Q ) V R	P V ( Q V R )
B	B	B	B	B	B	B
B	B	S	B	S	S	S
B	S	B	S	S	S	S
B	S	S	S	S	S	S
S	B	B	S	B	S	S
S	B	S	S	S	S	S
S	S	B	S	S	S	S
S	S	S	S	S	S	S

                                                                                                    |                        |

                                                     ( P V Q ) /\ R = ( P V Q ) /\ ( P V R )