Pertanyaan

Himpunan penyelesaian dari pertidaksamaan adalah ....

Himpunan penyelesaian dari pertidaksamaan open vertical bar 3 x plus 2 close vertical bar greater than 5 adalah ....

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Jawaban terverifikasi

Jawaban

himpunan penyelesaian = .

himpunan penyelesaian = open curly brackets right enclose x space x less than minus 7 over 3 space atau space x greater than 1 comma space x element of R close curly brackets

open curly brackets right enclose x space x less than minus 7 over 3 space atau space x greater than 1 comma space x element of R close curly brackets

Pembahasan

Ingat: Jadi himpunan penyelesaian = .

Ingat: open vertical bar f left parenthesis x right parenthesis close vertical bar greater than a rightwards arrow f left parenthesis x right parenthesis less than negative a space atau space f left parenthesis x right parenthesis greater than a

open vertical bar 3 x plus 2 close vertical bar greater than 5

3 x plus 2 less than negative 5 space atau space 3 x plus 2 greater than 5 3 x less than negative 7 space atau space 3 x greater than 3 x less than negative 7 over 3 space atau space x greater than 1

Jadi himpunan penyelesaian = open curly brackets right enclose x space x less than minus 7 over 3 space atau space x greater than 1 comma space x element of R close curly brackets .