Examine the following system of inequalities.
{y > −x + 4 and y ≤−(1/2)^x + 6
which 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).

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

----> inequality A

The solution of the inequality A is the shaded area above the dotted line

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

-----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solid line passes through the points (0,5) and (-2,2)

therefore

The solution of the system of inequalities is the shaded area between the dotted line and the solid line

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol