arianab1
Answered

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Which of the following points are solutions to the system of inequalities shown below? Check all that apply. y > 5x - 2 y < 5x + 3

A(4, 20)
B(-5, 25)
C(5, 28)
D(4, 23)

Verified Answer :

texaschic101

(4,20) is the only solution that works being that ur inequalities contain no equal signs.

Answer:

Correct option is:

A. (4,20)

Step-by-step explanation:

We are given system of equations:

y > 5x - 2

y < 5x + 3

A. (4, 20)

when x=4

y > 5x - 2

y > 20-2

y> 18

y < 5x + 3

y < 20+3

y< 23

y=20 satisfy both the inequalities

So, (4,20) is solution to the given system of equations

B. (-5, 25)

when x= -5

y < 5x + 3

y < -25+3

y< -22

y=25 does not satisfy the inequality

So, (-5,25) is not the solution to the given system of equations

C. (5, 28)

when x= 5

y < 5x + 3

y < 25+3

y< 28

y=28 does not satisfy the inequality

So, (5,28) is not the solution to the given system of equations

D. (4, 23)

when x= 4

y < 5x + 3

y < 20+3

y< 23

y=23 does not satisfy the inequality

So, (4,23) is not the solution to the given system of equations