Answer: The expression will be 
Step-by-step explanation: Frank has to pay $50 as the registration fee. This amount is compulsory to be paid
Step 1: Dues for $12 months
Let the due to be paid every month be $x, so dues to be paid for 12 months will be 12x
Step 2: Expression for the average monthly cost for x-month will be
Expression: 
Total cost = 50 + 12x
Expression: 
Let the Integer be x then its consecutive number will be x+1,
So, x+x+1=139,
2*x=138
x=69
The integers are 69,70
we will proceed to resolve each case to determine the solution
we have


we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality

-------> is true
so
The ordered pair
is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality

-------> is True
so
The ordered pair
is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
W^2-10w-10
Step-by-step explanation:
D=w^2-7
C=3+10w
D-C
(W^2-7)-(3+10w)
W^2-7-3-10w