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Which points are solutions to the linear inequality; y < 0.5x + 2?

User Bakar
by
8.1k points

2 Answers

4 votes

Hi There


x= -4

y= 2

(-4,2)

I hope that's help !

User Clexmond
by
8.6k points
2 votes

Answer:

A)
(-3,-2)

C)
(-1,-2)

E)
(1,-2)

F)
(1,2)

Explanation:

we have


y<0.5x+2

The options are the points


(-3,-2),
(-2,1),
(-1,-2),
(-1,2),
(1,-2),
(1,2)

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be satisfy the inequality

Verify

Point A)
(-3,-2)

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


-2<0.5(-3)+2


-2<0.5 -------> is true

The ordered pair
(-3,-2) is a solution of the inequality

Point B)
(-2,1)

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


1<0.5(-2)+2


1<1 -------> is not true

The ordered pair
(-2,1) is not a solution of the inequality

Point C)
(-1,-2)

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


-2<0.5(-1)+2


-2<1.5 -------> is true

The ordered pair
(-1,-2) is a solution of the inequality

Point D)
(-1,2)

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


2<0.5(-1)+2


2<1.5 -------> is not true

The ordered pair
(-1,2) is not a solution of the inequality

Point E)
(1,-2)

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


-2<0.5(1)+2


-2<2.5 -------> is true

The ordered pair
(1,-2) is a solution of the inequality

Point F)
(1,2)

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


2<0.5(1)+2


2<2.5 -------> is true

The ordered pair
(1,2) is a solution of the inequality


User VINNUSAURUS
by
8.2k points

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