MATH SOLVE

4 months ago

Q:
# Examine the following system of inequalities.{y > −x + 4 and y ≤−(1/2)^x + 6Which graph shows the solution to the system?Dotted linear inequality shaded below passes through (negative 4, 0) and (0, 4). Solid exponential inequality shaded above passes through (negative 1, 8) & (0, 7).Dotted linear inequality shaded below passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5).Dotted linear inequality shaded above passes through (negative 4, 0) and (0, 4). Solid exponential inequality shaded below passes through (negative 1, 8) & (0, 7).Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5).

Accepted Solution

A:

Answer:Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)Step-by-step explanation:we have[tex]y > -x+4[/tex] ----> inequality AThe solution of the inequality A is the shaded area above the dotted line [tex]y=-x+4[/tex]The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)and[tex]y \leq -(1/2)^{x} +6[/tex] -----> inequality BThe solution of the inequality B is the shaded area above the solid line [tex]y=-(1/2)^{x} +6[/tex]The solid line passes through the points (0,5) and (-2,2)thereforeThe solution of the system of inequalities is the shaded area between the dotted line and the solid linesee the attached figureDotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)