callahanmoira1
callahanmoira1 callahanmoira1
  • 15-01-2016
  • Mathematics
contestada

Solve this inequality: 3q + 11 + 8q > 99.

Respuesta :

Exvited
Exvited Exvited
  • 15-01-2016
[tex]3q + 11 + 8q \ \textgreater \ 99 \\ \\ 11q + 11 \ \textgreater \ 99 \\ \\ 11q \ \textgreater \ 99 - 11 \\ \\ 11q \ \textgreater \ 88 \\ \\ q \ \textgreater \ \frac{88}{11} \\ \\ q \ \textgreater \ 8 \\ \\ Answer: q \ \textgreater \ 8[/tex]
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Billymkhoi
Billymkhoi Billymkhoi
  • 15-01-2016
3q+ 11+ 8q > 99
⇒ (3q+ 8q)+ 11 > 99 (combine like terms)
⇒ 11q > 99-11
⇒ 11q > 88
⇒ q > 88/11
⇒ q > 8

Final answer: q>8~

Answer Link

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