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.
To find the slope of the inequality x/14-85>6, we need to rewrite it in the form y > mx + b, where m is the slope.
Begin by isolating x on one side of the inequality.
x/14 - 85 > 6
Add 85 to both sides:
x/14 > 91
Next, multiply both sides by 14 to get rid of the fraction:
x > 14 * 91
So the inequality can be rewritten as x > 1274.
Now, we have an inequality in the form x > k, where k is a constant. In this case, k = 1274.
Since there is no y variable in the inequality x > 1274, we cannot determine the slope. The inequality x > 1274 represents all values of x that are greater than 1274, which corresponds to an open interval on the x-axis.
Therefore, the slope is not applicable in this case. Instead, the solution set of the inequality x/14 - 85 > 6 is all values of x that are greater than 1274.