Question

What system of linear inequalities is shown in the graph?

Enter your answers in the boxes.

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https://static.k12.com/nextgen_media/assets/8076020-NG_AL1_SemA_03_UT_13.png

Answer 1

@mikewwe13

for each line, calculate the slope m = (y2-y1)/(x2-x1)
then plug that into the equation y = mx + b
then use the graph to determine b for each line (the y-intercept)

Answer 2

after that, consider the direction of the inequality and the type. dotted line means > or <. solid line means \[\le or \ge\]

Answer 3

then consider whether the shaded area is below or above the graphed lines