Solve the inequality |x+3| - 2>9

Step-by-step explanation:

|x+3| - 2 > 9

First add two to both sides

That's

| x + 3 | - 2 + 2 > 9 + 2

Simplify

We have

| x + 3 | > 11

Apply the absolute rule

That's

If | u| > a where a > 0 then

u < - a or u > a

So we have

x + 3 < - 11 or x + 3 > 11

For x + 3 < - 11

x + 3 < - 11

x < - 11 - 3

x < - 14

For x + 3 > 11

x + 3 > 11

x > 11 - 3

x > 8

Combine the intervals

We have the final answer as

Hope this helps you

x > 8 ∪ x < -14

Step-by-step explanation:

Start by adding 2 to both sides, obtaining the simpler inequality

|x+3| >11

Rewriting this as | x -(-3) | >11 makes the solution easier to visualize.  Think of (or draw) a number line with an open circle at x = -3.  This is the "center."  

| x -(-3) | >11 tells us that x is either 11 units greater than -3 or 11 units smaller than -3:  

x > 8 ∪ x < -14

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497