You need to get the ‘A’ on one side and the numbers on another. So add 4a to the left side which is -3a-11 < 1. Then you add 11 to the right side. So -3a< 12. To get a alone divide it by -3 on both sides. Also, when you divide a negative number the sign gets switched to the the other side so your answer is:
a > -4
The values would be F(x)=-8
Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-

So the total money will it hand out in prizes after 8 questions would be :

Hence, the total money it will hand out in prizes = $5100