Question

If r = 12.5 and s = |−13|, which of the following inequalities is not true?



r ≠ s


r < s


r ≥ s


r ≤ s

Answer 1

do you know what it means to say that: \(\large\color{black}{ r \ne s }\) ?

Answer 2

can you exclude any of the options?

Answer 3

no

Answer 4

Okay, symbols: " \(\large\color{black}{\ne }\) " means that it is "not equal to".
For example when we say: \(\large\color{black}{ 3 \ne 4 }\)
all we say is that "3 is not equal to 4".

Answer 5

Do you know what the absolute value is? (written as \(\large\color{black}{ \left|~~~~\right| }\) )

Answer 6

in your case it is \(\large\color{black}{ \left|-13~\right| }\) , do you know what this means?

Answer 7

thanks

Answer 8

thanks? I thought you aren't done yet.

Answer 9

it means -13?

Answer 10

not exactly.

Answer 11

or is it 13?

Answer 12

don't just guess

Answer 13

Yes.

When you say an absolute value of the number,
you are taking a positive value of the number like

(considering positive number a, where "-a" is thus a negative number)
\(\large\color{black}{ \left|~-a~\right| =a }\)
For example:
\(\large\color{black}{ \left|~-5~\right| =5 }\)
and
\(\large\color{black}{ \left|~-10~\right| =10 }\)

the positive inside the absolute value though, remains positive:
For example.
\(\large\color{black}{ \left|~7~\right| =7 }\)

Answer 14

so it takes what ever is inside and makes it positive!

Answer 15

yes.

Answer 16

So, if it is : \(\large\color{black}{ \left|~-13~\right| }\)

(you can use my code, `\(\large\color{black}{ \left|~-13~\right| }\)` copy paste from the gray)

what will it be equal to?

Answer 17

thanks, I do all my work on the computer and I have no teachers just a superviser

Answer 18

okay, sorry for insisting, but what will \(\large\color{black}{ \left|~-13~\right| }\) be equal to?

Answer 19

13!

Answer 20

yes, but don't put an exclamation mark, because it means a factorial. I know you just mean to say 13 though, not a factorial.

Answer 21

Anyways:

you had:
\(\large\color{black}{ s=\left|~-13~\right| }\) and \(\large\color{black}{ r=12.5 }\)

now you have:
\(\large\color{black}{ s=13 }\) and \(\large\color{black}{ r=12.5 }\)

Answer 22

sorry im exited, I have a learning disability in math so when I get something it makes me exited

Answer 23

what does ≥ mean? how different is it from <?

Answer 24

it is fine, and you aren't disabled. but if you keep thinking that why you might imbue that to yourself... anyway,
the problem NOW is:

If, \(\large\color{blue}{ s=13 }\) and \(\large\color{blue}{ r=12.5 }\) which of the following inequalities is not true?

\(\large\color{black}{ r \ne s }\)

\(\large\color{black}{ r < s }\)

\(\large\color{black}{ r \ge s }\)

\(\large\color{black}{ r \le s }\)

Answer 25

you mean how \(\large\color{black}{ \ge }\) is different from \(\large\color{black}{ > }\) ?

Answer 26

\[r \le s\] right?

Answer 27

you know what this statement means?

Answer 28

r is less than or equal to s

Answer 29

yes.

Answer 30

but it is not the answer, because:
\(\large\color{black}{ 12.5\le 13}\) is not a true statement.

Answer 31

ohh yes right!

Answer 32

I thought it was asking for a true statement, lol

Answer 33

thanks for the help but there is some one I want to help so I will have questions l8r if u want to help.