Answer:
The system has no solution
Step-by-step explanation:
we have
[tex]y < -\frac{3}{2}x-10[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the dashed line [tex]y=-\frac{3}{2}x-10[/tex]
The slope of the dashed line is negative
The y-intercept of the dashed line is -10
The x-intercept of the dashed line is -20/3
[tex]y > -\frac{3}{2}x-2[/tex] ----> inequality B
The solution of the inequality B is the shaded area above the dashed line [tex]y=-\frac{3}{2}x-2[/tex]
The slope of the dashed line is negative
The y-intercept of the dashed line is -2
The x-intercept of the dashed line is -4/3
Using a graphing tool
The dashed lines are parallel
therefore
The system has no solution
see the attached figure
