Question

A little help please medals to.

What are the solutions to the equation 5 = |x|?

Choose all answers that are correct.

A. -1/5


B. -5


C. 5


D. 1/5

Answer 1

I dont understand how to do this mind explaining it to me,

Answer 2

well the IxI means its positve so it can't be a or b

Answer 3

But A and B are Negative :/

Answer 4

yeah the solution has to be positive

Answer 5

Okay but then why are they negative.

Answer 6

recall that for some positive integer; k

|k| = k

and

|-k| = k

Answer 7

Okay so Its gonna be -5?

Answer 8

an aboslute value function inputs a number and strips off its sign ...

Answer 9

which options, when you strip them of sign, equate to (become) 5 ?

Answer 10

the absolute value of a number is always positive...

Answer 11

Okay so if it was -5 = |5|?

Answer 12

|5|, we strip the sign off of 5 and it becomes ... 5

Answer 13

so no ... |5| is not equal to -5

Answer 14

So then the answers are C. and D.

Answer 15

yes.

Answer 16

1/5 does not strip a sign and become 5 ...

Answer 17

Okay so now I think I get it so if its 5 = |x| then it will be positive

Answer 18

thats incorrect

Answer 19

Would x^2=25 be easier for you to solve?

Answer 20

apparently its not going to be eaiser

Answer 21

what does an absolute value function do?

Answer 22

, An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line. To graph an absolute value function, choose several values of x and find some ordered pairs.

Answer 23

ok, and your understanding of that is evidently in error ... so simplify it

an absolute value function strips away the sign

Answer 24

|x| = 5 means that for some signed version of 5, the function stripped it

what are the only signs that 5 can have?

Answer 25

So it would be C,B because it takes away the Negative.

Answer 26

good

|5| becomes 5

and

|-5| becomes 5

Answer 27

YAY! :)

I like that example you just wrote do you mind if I copy it and save it?

Answer 28

i got no issue with it :)

Answer 29

Okay thank,you to every one.

Answer 30

the reason I brought up the equation equation
is because if you square both sides of |x|=5
you get x^2=25
and notice that x=5 or x=-5 are also solutions to x^2=25
since (5)^2=(5)(5)=25 and (-5)^2=(-5)(-5)=25

Answer 31

the other equation*

Answer 32

shshshsh, its ok ... its ok... everything will be ok :)

Answer 33

just bringing it up just in case he might find it useful later