Me answer these three questions. if you only know one or two, that’s alright. just answer any of them you understand or know the answer too. answer all parts as well, that’s appreciated : 20 points!

11.

that's the region less than 4 including 4 together with the region greater than 8 not including 8.

a compound inequality is two or more inequalities in a single statement connected with ands and ors.

"or" means d can satisfy either equality or both for it to be in the solution set; it's set union of the two inequality solutions sets.

12.

|3x+2| > 9

3x + 2 > 9 or 3x + 2 < -9

3x > 7 or 3x < -11

x > 7/3 or x < -11/3

that's two ranges as indicated with a gap which includes x=zero.

the first step is to replace the absolute value inequality with a compound inequality combining the two cases, absolute value of a negative number and absolute value of a positive number.

we can check the answer to assure it's correct. at x=7/3 we get 3x+2=9 as we expect and bigger than that we get a true inequality; good. at x=-11/3 we get 3x+2=-9 and smaller than that we get a true inequality; good. checked.

13.

pattern: each successive term is multiplied by -1/2

that's choice d

i checked it so i know it's correct.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

(-5,-28)

i graphed to on desmos.