Pertanyaan

Tentukan HP ∣ 3 x + 2 ∣ = ∣ x − 5 ∣ !

Tentukan HP $∣ 3 x + 2 ∣ = ∣ x - 5 ∣$ !

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

HP adalah .

open vertical bar 3 x plus 2 close vertical bar equals open vertical bar x minus 5 close vertical bar

adalah

open curly brackets negative 7 over 2 comma space 3 over 4 close curly brackets

Pembahasan

Ingat kembali: Diketahui . Maka: Untuk Untuk Jadi,HP adalah .

Ingat kembali:

open vertical bar x close vertical bar equals open vertical bar y close vertical bar open curly brackets table attributes columnalign left end attributes row cell x equals y comma space jika space x greater or equal than 0 end cell row cell x equals negative y comma space jika space x less than 0 end cell end table close

Diketahui open vertical bar 3 x plus 2 close vertical bar equals open vertical bar x minus 5 close vertical bar . Maka:

Untuk

$table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x plus 2 end cell equals cell x minus 5 end cell row cell 3 x minus x end cell equals cell negative 5 minus 2 end cell row cell 2 x end cell equals cell negative 7 end cell row x equals cell fraction numerator negative 7 over denominator 2 end fraction end cell end table$

Untuk

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 x plus 2 end cell equals cell negative open parentheses x minus 5 close parentheses end cell row cell 3 x plus 2 end cell equals cell negative x plus 5 end cell row cell 3 x plus x end cell equals cell 5 minus 2 end cell row cell 4 x end cell equals 3 row x equals cell 3 over 4 end cell end table

Jadi, HP open vertical bar 3 x plus 2 close vertical bar equals open vertical bar x minus 5 close vertical bar adalah open curly brackets negative 7 over 2 comma space 3 over 4 close curly brackets .