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SMK Teknologi dan Rekayasa

Soal 79 Invers-Konvers-Kontraposisi


Kontraposisi\ dari\ pernyataan,\\{}''Jika\ x< 2,\ maka\ 5x< 10{}''\\adalah\ ....\\a.\ \ Jika\ 5x< 10,\ maka\ x< 2\\b.\ \ Jika\ 5x\leq 10,\ maka\ x\leq 2\\c.\ \ Jika\ 5x\geq 10,\ maka\ x\geq 2\\d.\ \ Jika\ x\leq 2,\ maka\ 5x\leq 10\\e.\ \ Jika\ x\geq 2,\ maka\ 5x\geq 10
Jawaban: c

Kontraposisi\ dari\ p\to q\ adalah\ \sim q\to \sim p
p\equiv x< 2\ \ \ \ \ \ \ \ \ \ \ \ \sim p\equiv x\geq 2\\q\equiv 5x< 10\ \ \ \ \ \ \ \ \ \sim q\equiv 5x\geq 10
\sim q\to \sim p\equiv Jika\ 5x\geq 10,\ maka\ x\geq 2

Keterangan:\\''x\ tidak\ kurang\ dari\ 2''\ \ senilai\ dengan\ \ ''x\ lebih\ dari\ atau\ sama\ dengan\ 2''

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Guru Matematika SMK

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