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How do you find the slope of this inequality (to graph it) x/14-85>6?

The first thing to do is to determine what type of equation it is and what the solution set is.
This is an inequality in one variable so it will only be some subset of the x-axis.
We're given:
x/14-85>6
add 85 to both sides to get
x/14 > 91
multiply both sides by 14 to get
x>14*91
This is an open interval on the x-axis.

If you have an inequality like (1/2)x+2<y then you'd have a line and the slope is 1/2. The solution set here would be all points that lie above the line y=(1/2)x+2.

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