Get n by itself in both inequalities
(This program doesn't allow for regular less than or greater than signs, so for the purposes of this problem I will be using less than or equal to (≤) and greater than or equal to (≥) signs)
Inequality 1:

Inequality 2:

Now that you have both of the n's by themselves, you can put the two inequalities together, like this

Just keep in mind that these are supposed to be regular less than signs
Combine like terms (terms with the same variable (letter)). Remember to bring the sign.
4c - 4d + 8c - 3d
4c + 8c = 12c
-4d - 3d = -7d
12c - 7d is your answer
hope this helps
First term a1 = 6+5 = 11
second term = 12+5 = 17
common difference = 6
Sum of n terms:-
Sn = (n/2) [ 2a1 + d(n - 1)]
Sum of 30 terms:-
S30 = (30/2)[ 2*11 + 6(30-1)]
= 15 * ( 22 + 174)
= 15 * 196
= 2940 Answer
Answer:
D
Step-by-step explanation:
use the formula for point slope form, since all of your choices are in that form : y-y1=m(x-x1) (m is the slope)
we're given that m=2 and the point is (2,9)
Substitute into the equation
y-9=2(x-2)
That means that the answer is D
Hope this helps!