The solutions to the inequality y > −3x + 2 are shaded on the graph. which point is a solution?
(0, 2)
(2, 0)
(1, −2)
(−2, 1)

we know that

If a point is a solution of the inequality

then

The point must satisfy the inequality

we have

The solution of the inequality is the shaded area above the dotted blue line

see the attached figure to better understand the problem

Step 1

Point

Substitute the value of x and the value of y in the inequality

-------> is not true

therefore

The point A is not a solution for the inequality

See the attached figure------> the point A is not on the shaded area

Step 2

Point

Substitute the value of x and the value of y in the inequality

-------> is true

therefore

The point B is a solution for the inequality

See the attached figure------> the point B is on the shaded area

Step 3

Point

Substitute the value of x and the value of y in the inequality

-------> is not true

therefore

The point C is not a solution for the inequality

See the attached figure------> the point C is not on the shaded area

Step 4

Point

Substitute the value of x and the value of y in the inequality

-------> is not true

therefore

The point D is not a solution for the inequality

See the attached figure------> the point D is not on the shaded area

the answer is

b

step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2