Question

how would you write and inequality for |w+7|>5 without using any absolute values?

Answer 1

Rule: if |x| > k, for some positive number k, then x > k or x < -k

For example,

|x+4| > 2 turns into x+4 > 2 or x+4 < -2

Answer 2

i tried inputting (-infinity, -12) U (-2, infinity) but it says it's wrong because I am not allowed to use intervals or sets in this context.

Answer 3

@jim_thompson5910

Answer 4

for part a), it says "enter an inequality"

Answer 5

they don't mention anything about interval notation

Answer 6

also in the "messages" portion, it says "you are not allowed to use intervals"

Answer 7

i know. i''m not sure what the inequality is supposed to be

Answer 8

how did you get your answer in interval notation?

Answer 9

\[\large |x+7|>5 \]
\[\large x+7>5\quad\text{or}\quad x+7<-5 \]
\[\large x>-2\quad\text{or}\quad x<-12 \]

Answer 10

i guess this is what u r being asked for.