Question

What system of linear inequalities is shown in the graph? Enter your answers in the boxes. $<$$x$ $\ngtr$$\nless$ A system of 2 linear inequalities graphed on a coordinate plane. The horizontal x axis ranges from negative 5 to 5 in increments of 1. The vertical y axis ranges from negative 5 to 5 in increments of 1. A dashed line passes through begin ordered pair 0 comma 2 end ordered pair and begin ordered pair negative 3 comma 1 end ordered pair. A solid line passes through begin ordered pair 1 comma 0 end ordered pair and begin ordered pair 0 comma 2 end ordered pair. The region below the dashed line and below the solid line is shaded.

Answer 1

Thank you for asking this question. Here is your answer:

The equation of the line with a bold line:

slope = ( 0 - ( -1 ) ) / ( ( 2 - 0 ) )= 1/2

c = -1

Therefore, y <= ( 1 / 2 ) x - 1

The equation of the line with the dotted line:

slope = ( 1 - ( - 2 ) ) / ( 0 - 1) = - 3

c = 1

Therefore, y < - 3x + 1

If there is any confusion please leave a comment below.

Answer 2

Answer:

y < - 3x + 1

Step-by-step explanation: