Fast! will mark as brainliest if given good answer!

which of the following points lie in the solution set the following system of inequalities? show your work to justify your answer
y < -3x + 3
y < x + 2

1. (1,-5)
2.(1,5)
3. (5,1)
4. (-1,5)

(1,-5) is a solution.

Step-by-step explanation:

The easiest way to do this is to plug in the choices and see which point satisfies both inequalities.

1. (1,-5)?

(x,y)=(1,-5)

y<-3x+3

-5<-3(1)+3

-5<-3+3

-5<0 is true

(x,y)=(1,-5)

-5<1+2

-5<3 is true

So (1,-5) is a point in the solution field.

2. (1,5)?

(x,y)=(1,5)

y<-3x+3

5<-3(1)+3

5<-3+3

5<0 is false.

We do not have to try the other inequality as this one already said it was not a solution.

It has to satisfy both inequalities (all the conditions).

(1,5) is not a solution.

3. (5,1)?

(x,y)=(5,1)

y<-3x+3

1<-3(5)+3

1<-15+3

1<-12 is false.

So (5,1) is not a solution.

4. (-1,5)?

(x,y)=(-1,5)

y<-3x+3

5<-3(-1)+3

5<3+3

5<6 is true.

(x,y)=(-1,5)

y<x+2

5<-1+2

5<1 is false.

So (-1,5) is not a solution.

------------I went ahead and graphed the system too.------------

y<-3x+3 says to shade below y=-3x+3.

y=-3x+3 has slope -3/1 and y-intercept 3.

So I graphed 3 on the y-axis first and then I used -3/1 to find the point (1,0) to graph y=-3x+3.

y<x+2 says to shade below y=x+2.

y=x+2 has slope 1/1 and y-intercept 2.

So I graphed 2 on the y-axis first then I used 1/1 to find the point (1,3) to graph y=x+2.

Please see visual now.

(1,-5) is the only one in the intersection of the coloring (both colorings).

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation: