Question

|3x +6| > 6

How is it no solution?

Answer 1

if x > 0, then this is true
if x < -4, then this is true

Answer 2

Not sure how you're getting "no solution" as there are solutions...

Answer 3

u could use the following:
\[ \large |a|>b\qquad\Leftrightarrow\qquad a>b\vee a<-b \]

Answer 4

We are given the answers to check ours, so we don't learn how to do the problems wrong. It says the answer is "No Solution"

Answer 5

There must be a typo somewhere

Answer 6

The directions are, if it helps, "Solve each equation. Check for extraneous solutions."

Answer 7

Please check if the question actually says this:
|3x +6| < 6

Answer 8

there are still solutions there as well

Answer 9

my guess is that its like

-|3x +6| > 6

or

|3x +6| < -6

or something like it

Answer 10

to |3x +6| < 6?

Answer 11

yes there are solutions to |3x +6| < 6

Answer 12

True!

Answer 13

Oh dear! That was a typo, |3x + 6| = -12

Answer 14

the absolute value of any number is ALWAYS nonnegative (ie it's never negative)

Answer 15

it has no solutions because \(|m|\geq0\) for any m

Answer 16

Ohhh!

Answer 17

so to say something like

|some number| = some negative number

is impossible

Answer 18

Oh, I get it, thanks!