Question

Solve |x| + 7 < 4.



a. {x | x < -11 or x > -3}

b.{x | -3 < x < 3}

c.Ø

Answer 1

First subtract 7 from both sides

|x| + 7 < 4

|x| + 7-7 < 4-7

|x| + 0 < -3

|x| < -3

Answer 2

Are you able to solve |x| < -3 from here?

Answer 3

i really dont understand this...

Answer 4

do you see how I subtracted 7 from both sides?

Answer 5

yes

Answer 6

ok from here, we have to solve |x| < -3

Answer 7

You are basically finding the absolute values so u wanna look for what numbers can be placed as x.

Answer 8

however, since |x| is NEVER negative, there is no way that |x| will be less than -3

why? because being less than -3 means you have a negative number...but |x| is never negative

Answer 9

so |x| < -3 is impossible which means it has no solutions

Answer 10

so the answe is c

Answer 11

that is correct, aka the empty set

Answer 12

ok thanks jimmy