Question

Solve for x: −5|x + 1| = 10

Answer 1

-14 or 14

Answer 2

because if you add 5 on both sides you will gt 15 and since its absoulute value it will be either negative or posotive

Answer 3

isolate the | | part by dividing by what the || is being multiplied by

Answer 4

Or think of it like this | | only gives positive or 0 as a output right?
Can a neg times pos(or zero) ever be positive?

Answer 5

im confused...how do i get this because i dont really understand the absolute value questions

Answer 6

divide -5 on both sides

Answer 7

what is the result after doing just that step?

Answer 8

Select one:
a. x = 0
b. x = −3 and x = 1
c. x = −1 and x = 3
d. No solution

Answer 9

sorry... -2

Answer 10

you get |x+1|=-2 right?

Answer 11

yes

Answer 12

now what is |9| or |-9| equal to?

Answer 13

I'm asking you because I want you to be certain that |x+1| should give us a positive number or a zero number.

Answer 14

|9|=9
|-9|=9
|0|=0
absolute value will always give 0 or positive as a result

Answer 15

|x+1|=-2
another way to say this question
is -2 positive?

Answer 16

|x+1|=pos/zero
but we have
|x+1|=-2
can both of these statements be true?

Answer 17

im still a little confused...both of the statements cant be true...can they? :/

Answer 18

nope

Answer 19

|x+1|=pos/zero is true
but
|x+1|=-2 is false because -2 is neither pos or zero

Answer 20

so it would be no solution?

Answer 21

yeah

Answer 22

thank you so much! i hate it when the people just give the answers instead of helping me through it. you are awesome!

Answer 23

This is a study site. And they are suppose to guide.

Answer 24

anyways if you ever see something like this |x+3|=-141
or |x-4|=-3
or |2x-5|=-14
these are all false

Answer 25

this would have 2 solutions
because 5 is positive
|x+4|=5

Answer 26

do you know how to solve |x+4|=5?

Answer 27

you should think to solve two equations
|-(x+4)|=|-1|*|x+4|=1*|x+4|=x+4
|x+4| also equals x+4
so you have two cases to consider
case 1: x+4=5
case 2: -(x+4)=5

Answer 28

myninininyianyianyaiyn good job