-2(x+3)<20
Show work and write solution set

x > - 13

Step-by-step explanation:

Given

- 2(x + 3) < 20 ← distribute parenthesis on left side

- 2x - 6 < 20 ( add 6 to both sides )

- 2x < 26

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x > - 13

solution set is { x | x > - 13 }

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.