Mathematics, 20.07.2019 17:50 natashalane8617

Coordinate grid with plotted ordered pairs, point a at negative 5, 4 point b at 4, 7 point c at negative 2, 7 point d at negative 7, 1 point e at 4, negative 2 point f at 1, negative 6 point g at negative 3, negative 10 point h at negative 4, negative 4 point i at 9, 3 point j at 7, negative 4 and point k at 2, 3 the coordinate grid shows points a through k. which points are solutions to the system of inequalities listed below? 2x + y ≤ 10 2x − 4y < 8

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Answer from: minecraftsam2018

The answer should be answer A. (A,C,D,K)

You can easily figure this out by just looking at the graph. Just look at all points that are in the blue region(overlapping shaded area) and see all the points inside.

H is not included because it falls on the dotted line. Any point that falls on a dotted line does not satisfy both inequalities.

If the line were solid however, then the point would satisfy both inequalities. This is because the line would include the greater than or equal to symbol "≥" which means that the point could equal to 8 or be less than 8. Since the symbol is not used, it doesn't satisfy both equations.

Coordinate grid with plotted ordered pairs, point a at negative 5, 4 point b at 4, 7 point c at nega

Answer from: shyann78

A,C,D, and k

Step-by-step explanation:

We are given that a coordinate grid plotted with points A(-5,4), point B(4,7), C(-2,7), D(-7,1),E(4,-2),F(1,-6),G(-3,-10),H(-4,-4),I(9,3) , J(7,-4) and K(2,3).

$2x+y\leq 10$

2x-4y

We have to find the points which are solutions of the given system of inequalities.

Substitute A (-5,4) in equations

2(-5)+4=-6

2(-5)-4(4)=-10-16=-26

Substitute the value of point B(4,7)

2(4)+7=1510

Point B does not satisfy the first inequality equation.

Now, substitute the value of point C(-2,7)

2(-2)+7=3

2(-2)-4(7)=-4-28=-32

Now, substitute the value of point D(-7,1)

2(-7)+1=-13

2(-7)-4(1)=-18

Now, substitute the value of point E(4,-2)

2(4)-2=8-2=6

2(4)-4(-2)=8+8=168

Point E satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.

Now, substitute the value of point F(1,-6)

2(1)-6=-4

2(1)-4(-6)=2+24=268

Point F satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.

Now, substitute the value of point G (-3,-10)

2(-3)-10=-16

2(-3)-4(-10)=348

Point G satisfied the first inequality but it does not satisfied the second inequality.Therefore, it is not a solution of system of inequalities.Now, substitute the value of point H(-4,-4)

2(-4)-4=-12