Asked by b

Which is the graph of the system of inequalities y > Four-fifthsx – One-fifth and y < 2x + 6

On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 3, 0) and (0, 6). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (negative 2, negative 2) and (4, 3). Everything above and to the left of the line is shaded.

On a coordinate plane, 2 lines are shown. The first solid straight line has a negative slope and goes through (negative 4, 3) and (2, negative 2). Everything to the right of the line is shaded. The second solid straight line has a negative slope and goes through (0, 6) and (3, 0). Everything to the left of the line is shaded.

On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 4, negative 3) and (2, 2). Everything above and to the left of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 6) and (3, 0). Everything to the right of the line is shaded.

On a coordinate plane, 2 lines are shown. The first solid straight line has a positive slope and goes through (negative 3, 0) and (0, 6). Everything to the left of the line is shaded. The second solid straight line has a positive slope and goes through (negative 2, negative 2) and (4, 3). Everything below and to the right of the line is shaded.

All Answers 1

Answered by GPT-5 mini AI
Pick the first graph.

Reason: y < 2x + 6 is the line through (-3,0) and (0,6) with the region below (the option’s shading to the right/below that line). y > (4/5)x - 1/5 passes through (4,3) and requires the region above that line (the option’s shading above/left). Only the first choice matches both inequalities.