Question

solve the inequality |x+6|>15

Answer 1

If |u|>15, this means we are looking for all values of u that have distant greater than 15 from 0.
So numbers that would give us that distance is the interval outside of [-15,15].
Which means u>15 or u<-15.

The other difference between my statement and your statement is that I have a u between the | | marks.

Just replace my u with x+6 and then solve both inequalities.

Answer 2

these are my choices to choose from
A. X>-21 or x<9
B.X<-21 or X>9
C.-9<x<9
B.-21< x <9

Answer 3

\(\bf |x+6|>15\implies
\begin{cases}
+(x+6)>15\\ \quad \\
\bf -(x+6)>15
\end{cases}\)

thus 2 values for "x", one for each scenario

Answer 4

solve the inequality |x+6|>15

Answer 5

solve the inequality |x+6|>15these are my choices to choose from
A. X>-21 or x<9
B.X<-21 or X>9
C.-9<x<9
B.-21< x <9

Answer 6

well, solve the 2 scenarios, and you'll see which one matches

Answer 7

so it a

Answer 8

B

Answer 9

c

Answer 10

OR D

Answer 11

Can I see your attempt to solve the inequality so I can say if you are wrong or where you messed up on a step?

Answer 12

We have two inequalities to solve.
Here is the first one:
\[x+6>15 \]
What do we need to do to get x by itself?