Answer:
The graph in the attached figure
Step-by-step explanation:
we have
y < -3x-2 -----> inequality A
The solution of the inequality A is the shaded area below the dashed line y=-3x-2
The slope of the dashed line is negative m=-3
The-y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (-0.67,0)
y > -3x+8 -----> inequality B
The solution of the inequality B is the shaded area above the dashed line y=-3x+8
The slope of the dashed line is negative m=-3
The-y-intercept of the dashed line is (0,8)
The x-intercept of the dashed line is (2.67,0)
using a graphing tool
The system of inequalities y < -3x-2 and y > -3x+8 has no solution (parallel lines)
see the attached figure
Answer
Find out the m∠p .
To prove
As in ΔDAB is a right triangle
Apply pythagorean theorem
Hypotenuse ² = Perpendicular ² + Base²
DB² = AB² + AD²
AB = 5 units
AD = 6 units
Put in the above formula
DB² = 5² + 6²
= 25 + 36
= 61
= 7.8 units (approx)
Now in ΔDCB is a right triangle .
By using the trignometric identity .
As DC = 4 units
DB = 7.8 units (approx)
Put all the values in the trignometric identity .
∠p = 59.15 ° (approx)