Question

Which value of x is the solution set of the following inequality? -x+8>6

A. 15
B. 2
C. 4
D. 1

Answer 1

`B. \: 2`

Step-by-step explanation:

`- x + 8 > 6 \\ subtract \: 8 \: from \: both \: sides \\ \\ - x > - 2 \\ divide \: both \: sides \: by \: - 1. \: since \\ - 1 < 0 \: the \: inequality \: direction \\ changed. \\ \\ x < ( - 2)/( - 1) \\ ( - 2)/( - 1) = 2 \: can \: be \: simplified \: as \: 2 \: by \\ removing \: the \: negative \: from \\ numerator \: and \: denominator. \\ \\ x < 2`