when graphing the solution set for y=> -x+5, how do you find 3 ordered pairs that are solutions to the inequality?

Question

(dont know how to type y is greater than or equal to, so i typed =>)

Answer 1

y ≥ -x + 5

 

Graph the line y = -x + 5 or y = 5-x  which is the same thing

 

x      5-x

------------ 

0      5

1      4

5      0

 

In actuality, this already gives us 3 points that are included

since the inequality includes "equal to" as well as greater than.

 

However, graphing this line we have two distinct areas..

Below the line to the left, and above the line to the right.

 

Plug in (0,0) to see if the area below to the left is included.

0 ≥ 5-0

0 ≥ 5

Since this is NOT a true statement the area below the line

is not included.  All points on the line and any points above

and to the right of the line y = -x+5 are included in y ≥ -x + 5.

(6, 1), (7, 2), (8, 3), ...