Answer:
The attached graph represents the system
Step-by-step explanation:
Let us describe the graph of each line
In y < -3x + 5
∵ The sign of inequality without =
∴ The line represents it must be dashed
The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept
∵ y < -3x + 5
∴ m = -3 and b = 5
∴ The direction of the line is to the left and intersect the y-axis at (0, 5)
∴ y < -3x + 5 represented by the green line
∵ The sign of inequality is <, then the shading is under the green line
In y < x + 2
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 1 and b = 2
∴ The direction of the line is to the right and intersect the y-axis at (0, 2)
∴ y < x + 2 represented by the blue line
∵ The sign of inequality is <, then the shading is under the blue line
In y < -1
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 0 and b = -1
∴ The line is horizontal and intersects the y-axis at (0, -1)
∴ y < -1 represented by the red line
∵ The sign of inequality is <, then the shading is under the red line
∵ The shading of the three inequalities is under the lines
∴ The solutions of the system of inequalities lie in the common
shaded part under the three lines
∴ The attached graph represents the system
