drakeabby007
drakeabby007 drakeabby007
  • 06-05-2020
  • Mathematics
contestada

Which value of x is the solution set of the following inequality? -x+8>6
A. 15
B. 2
C. 4
D. 1

Respuesta :

TheNoobXD
TheNoobXD TheNoobXD
  • 06-05-2020

answer:

[tex]B. \: 2[/tex]

explanation:

[tex] - x + 8 > 6 \\ subtract \: 8 \: from \: both \: sides \\ \\ - x > - 2 \\ divide \: both \: sides \: by \: - 1. \: since \\ - 1 < 0 \: the \: inequality \: direction \\ changed. \\ \\ x < \frac{ - 2}{ - 1} \\ \frac{ - 2}{ - 1} = 2 \: can \: be \: simplified \: as \: 2 \: by \\ removing \: the \: negative \: from \\ numerator \: and \: denominator. \\ \\ x < 2[/tex]

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