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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)

The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point-example-1

2 Answers

7 votes
You need to check which ordered paid is in the shaded region. Since the line is dashed a point on the line is NOT a solution​.
(2,0) is the only one in the shaded region
User Eder Padilla
by
7.7k points
5 votes

we know that

If a point is a solution of the inequality

then

The point must satisfy the inequality

we have


y>-3x+2

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
A(0,2)

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


x=0\ y=2


y>-3x+2


2>-3*0+2


2>2 -------> 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
B(2,0)

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


x=2\ y=0


y>-3x+2


0>-3*2+2


0>-4 -------> 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
C(1,-2)

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


x=1\ y=-2


y>-3x+2


-2>-3*1+2


-2>-1 -------> 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
D(-2,1)

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


x=-2\ y=1


y>-3x+2


1 >-3*-2+2


1 >8 -------> 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(2,0)

The solutions to the inequality y > −3x + 2 are shaded on the graph. Which point-example-1
User Andersson Melo
by
7.6k points

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