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
A, C, D, K
E, F, G, J
A, C, D, H, K
E, F, G, H, J
Stacey Warren - Expert brainly.com
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2x + y ≤ 10
y ≤ - 2x + 10 → you can see the line in red
As the sign is ≤, you keep only the part below the red line, included the red line
2x - 4y < 8
- 4y < - 2x + 8
y > (- 2x + 8)/- 4
y > - (1/2)x - 2 → you can see the line in blue
As the sign is >, you keep only the part above the blue line
So the answer is ACDK
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thx can u help with a few more
Yeah but im not the best im pretty sure I can
Which of the following points lie in the solution set to the following system of inequalities?
y ≤ x − 5
y ≥ −x − 4
i think its the first one
wait no its not
-(x+4) ≤ y ≤ (x-5) (I assume this is what you meant)
I'll do the first one.
Plug in (x=-5,y=2)
-(-5+4) ≤ 2 ≤ (-5-5)
1 ≤ 2 ≤ -10
1 is less than or equal to 2, but 2 is not less than or equal to -10. So (-5,2) is not a solution.
Do the other points the same way.
Or you can graph the two inequalities on a coordinate plane. Each inequality requires shading on one side of the line. Once you have the shading in place, you graph the four points. The points which are in the region shaded by both of the inequalities are solutions.