Answer:
1. so (1,-10) passes both equations
2. The dotted line is the line y > -x+3 and the solid line is y ≤ 2x -2
3. The solid line is the line y≤ -x+2 and the other solid line is y ≤ -3x +2
Step-by-step explanation:
y≤x-5
y≤-x-4
Substitute the points in and see if they work
(1,10)
10 ≤1-5 10 ≤-4 False
10 ≤-1-4 10 ≤-5 False
so (1,10) Fails both equations
(-1,10)
10 ≤-1-5 10 ≤-6 False
10 ≤1-4 10 ≤-3 False
so (-1,10) Fails both equations
(10,1)
1 ≤10-5 1 ≤5 True
1 ≤-10-4 1 ≤-14 False
so (10,1) Fails one equations
(1,-10)
-10 ≤1-5 -10 ≤-4 True
-10 ≤-1-4 -10 ≤-5 True
so (1,-10) passes both equations
2. The dotted line is the line y > -x+3 and the solid line is y ≤ 2x -2
The dotted line means less than or greater than. It is shaded above so it is greater than. The y intercept is 3. The slope is down 1 to the right one (-1/1) y> -x+3
The solid line means greater than or equal to or less than or equal to. Since it is shaded below it means less than or equal to. The y intercept is -2. The slope is up 2 to the right one (2/1) y≥ 2x-2
3. The solid line is the line y≤ -x+2 and the other solid line is y ≤ -3x +2
The solid line means greater than or equal to or less than or equal to. It is shaded below so it is less than or equal. The y intercept is 2. The slope is down 1 to the right one (-1/1) y≤ -x+2
The solid line means greater than or equal to or less than or equal to. Since it is shaded below it means less than or equal to. The y intercept is 2. The slope is down 3 to the right one (-3/1) y ≤ -3x +2
