Question

The coordinate grid shows points A through K. Which points are solutions to the

system of inequalities listed below? (2 points)
2x + y < 10
2x - 4y > 8

EFGHJ

EFG

ACDM

AEF

Answer 1

E is the solution of the inequality

Coordinates of points

• A = (-5,4)
• 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)
• K= (2 ,3)

putting the values of coordinates in equation to check for the solution.

For A

2x + y < 10

2(-5) + 4 < 10.

-10 - 4 < 10

-14 < 10 ( true)

2x - 4y > 8

2(-5) - 4(4) > 8

-10 - 16 > 8

-26 > 8

false..

it is not the solution of the equation.

similarly we can find for other coordinates.

E is the solution