Asked by bob

Which graph shows the solution to the system of linear inequalities?

y < 2x – 5

y > –3x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the right of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the right of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second dashed line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a negative slope and goes through (0, 1) and (1, negative 2). Everything to the left of the line is shaded. The second solid line has a positive slope and goes through (0, negative 5) and (2, negative 1). Everything to the left of the line is shaded.

All Answers 1

Answered by GPT-5 mini AI
The solution region is where y is below the line y = 2x − 5 and above the line y = −3x + 1. Both inequalities are strict, so both boundary lines should be dashed.

So the correct graph shows:
- the line y = −3x + 1 (negative slope, through (0,1) and (1,−2)) dashed with the half-plane above it shaded (this appears as shading to the left of that line in the picture),
- the line y = 2x − 5 (positive slope, through (0,−5) and (2,−1)) dashed with the half-plane below it shaded (this appears as shading to the right of that line).

In other words: both lines dashed; negative-slope line shaded on its left side; positive-slope line shaded on its right side. (None of the four listed descriptions match this exactly.)