Solve the inequality.
-2(w+4) +9<-11

w>6

Step-by-step explanation:

1.) you will distribute the -2 into the parentheses.

-2w-8+9<-11

2.) combine like terms

-2w+1<-11

3.) isolate the variable

-2w<-12

4.) continue to isolate the variable

w>6

(the sign will flip because if the negative devision)

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).