The graph below represents which system of inequalities?

Asked by maham237 @ 16/12/2020 in Mathematics viewed by 301 People

graph of two infinite lines that intersect at a point. One line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line. y ≤ −2x + 3 y ≤ x + 3 y ≥ −2x + 3 y ≥ x + 3 y ≤ −3x + 2 y ≤ −x + 2 y > −2x + 3 y > x + 3

Answered by maham237 @ 16/12/2020

Solid...(-3,0)(-4,-1)...shaded below the line

slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1

y = mx + b
-1 = 1(-4) + b
-1 = -4 + b
-1 + 4 = b
3 = b

this line is : y < = x + 3 <== (thats less then or equal)
====================
solid...(1,1)(2,-1)...shaded below the line

slope = (-1-1) / (2-1) = -2/1 = -2

y = mx + b
1 = -2(1) + b
1 = -2 + b
1 + 2 = b
3 = b

this line is : y < = -2x + 3 <== (thats less then or equal)

The graph below represents which system of inequalities?

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