Answer:
Decreasing
Step-by-step explanation:
The solution of a linear inequality in two variables like Ax + By > C is an ordered pair (x, y) that produces a true statement when the values of x and y are substituted into the inequality.
Example
Is (1, 2) a solution to the inequality
2x+3y>1
2⋅1+3⋅2>?1
2+5>?1
7>1
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example
Graph the inequality
y≥−x+1
picture44
We assume that the hill is represented by points ACD and the ski lift is represented by points BCD. From the description above, points CDB would have an angle of 90 degrees. Then, we would have:
sin (32) = CD / 960
CD = 508.72
tan 32 = 508.72 / AD
AD = 814.13
Therefore, the distance would be 814.13 - 508.72 = 305.4 ft.
