From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by:

- Thus, it will be positive if:

- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
Answer:
2x -y ≥ 4
Step-by-step explanation:
The intercepts of the boundary line are given, so it is convenient to start with the equation of that line in intercept form:
... x/(x-intercept) + y/(y-intercept) = 1
... x/2 + y/(-4) = 1
Multiplying by 4 gives the equation of the line.
... 2x -y = 4
This line divides the plane into two half-planes. The half-plane that is shaded is the one for larger values of x and/or smaller values of y than the ones on the line. So, for some given y, if we increase x we will get a number from our equation above that is greater than 4. Hence, the inequality we want is ...
... 2x -y ≥ 4
We use the ≥ symbol because the line is solid, so part of the solution space.
Step-by-step explanation:
yes the are similar because of AA Theorem
EAB is similar to ECD