MATH SOLVE

2 months ago

Q:
# Which graph shows the solution to the system of linear inequalities? y < =2x – 5 y > –3x + 1

Accepted Solution

A:

Answer:The graph in the attached figureStep-by-step explanation:we have[tex]y < 2x-5[/tex] ----> inequality AThe solution of the inequality A is the shaded area below the dashed line [tex]y=2x-5[/tex]The slope of the dashed line A is positive m=2The y-intercept of the dashed line A is (0,-5)The x-intercept of the dashed line A is (2.5,0)[tex]y >-3x+1[/tex] ----> inequality BThe solution of the inequality B is the shaded area above the dashed line [tex]y=-3x+1[/tex]The slope of the dashed line B is negative m=-3The y-intercept of the dashed line B is (0,1)The x-intercept of the dashed line B is (1/3,0)The solution of the system of inequalities is the shaded area between the two dashed linesusing a graphing tool The graph in the attached figure