Question

|2x+10|>26

I just need help to why I got this wrong, I will add the answer choices.

Answer 1

do you know how the absolute value works?

Answer 2

the quantity in the absolute value can be either > 26 or <-26

Answer 3

solve both of them

Answer 4

sorry I just saw this, one second

Answer 5

isnt it >26

Answer 6

im really confused

Answer 7

sorry

Answer 8

the function is larger than 26 for those shaded areas

Answer 9

okay, but if i look at the answer choices, 26 is not on one of the answer choices

Answer 10

right, you have to solve for the intervals of the shaded area

if the absolute value is greater than a number, you will get an OR statement with two solution intervals...

The absolute value function is just a distance from zero, if this distance is greater than, you will have two solutions

Like if absolute value of x is greater than 2, you will get x>2 OR x <-2, both those are the solutions for all distances greater than 2 from zero

Answer 11

ohh okay that makes sense

Answer 12

so if i I2x+10I>26
and subtract 10 on both sides it will give me
I2xI>16
And then divide both sides by 2 i will get
IxI>8

Answer 13

If the absolute value is Less Than some value, say 'a', the solution will be in the form of an AND statement

-a < abs( function) < +a

single solution region between + and - a

Answer 14

okay

Answer 15

okay I think I got it! Thank you!

Answer 16

k, yeah the third one

Answer 17

Here this is straight forward if you need to review this

http://www.purplemath.com/modules/absineq.htm

Answer 18

https://soundcloud.com/dann-gooas/record-0049