Q:

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

Accepted Solution

A:
Answer:Option BThe solution in the attached figureStep-by-step explanation:we haveInequality A[tex]y > -\frac{1}{3}x+1[/tex] we know thatThe solution of the inequality A is the shaded area above the dashed line The equation of the dashed line is [tex]y=-\frac{1}{3}x+1[/tex]The slope of the dashed line is negative [tex]m=-\frac{1}{3}[/tex]Inequality B[tex]y > 2x-1[/tex] we know thatThe solution of the inequality B is the shaded area above the dashed line The equation of the dashed line is [tex]y=2x-1[/tex]The slope of the dashed line is positive [tex]m=2[/tex]thereforeThe solution in the attached figure