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

so write out each one, replacing r with 12.5 and replacing s with |-13|

Answer 2

ill write the first one

Answer 3

\[12.5 \neq |13|\]

Answer 4

is that true?

Answer 5

oops meant |-13| sorry

Answer 6

i really dont know

Answer 7

ok do you know what the | | around -13 mean?

Answer 8

no

Answer 9

it means absolute value

Answer 10

absolute value is the distance from 0

Answer 11

how far is -13 from 0?

Answer 12

oh its false i think

Answer 13

how far is -13 from 0?

Answer 14

13

Answer 15

correct so |-13| is what?

Answer 16

false

Answer 17

no, |-13| means how far is -13 from 0?

Answer 18

and you just told me thats 13

Answer 19

so |-13| is 13

Answer 20

ok so now you can just write 13 instead of |-13|

Answer 21

so \[12.5 \neq 13\]

Answer 22

is that true or false?

Answer 23

absolute values are positive...even if they say negaive

Answer 24

yes, the absolute value of a number (whether that number is negative or positive) is positive

Answer 25

that should make this problem a whole lot easier

Answer 26

@colefoster so do you know what \[\neq \] means?

Answer 27

no

Answer 28

it means not equal

Answer 29

so if i write \[12.5 \neq 13 \] in english

i have 12.5 is not equal to 13

Answer 30

ok

Answer 31

is that a true or false statement?

Answer 32

false?

Answer 33

If i told you 12.5 is not equal to 13 you would say im correct or incorrect?

Answer 34

correct

Answer 35

correct is the same as true

Answer 36

so whats the answer now?

Answer 37

oooh i get its false

Answer 38

no, the answer is true

Answer 39

it is true that 12.5 is not equal to 13

Answer 40

oh dang

Answer 41

ok so the first statement is true

Answer 42

write out the next one

Answer 43

i think that one is true as well

Answer 44

that is true

Answer 45

ok what about the third one?

Answer 46

well its saying that 12.5 is greater than 13 which is false

Answer 47

well thats close, and the answer is false, its saying that 12.5 is greater than OR equal to 13

Answer 48

thats what the line under the greater than sign means, it means OR equal to

Answer 49

oh i was close though

Answer 50

yep

Answer 51

ok so you have the first 3 answers now, what is the fourth?

Answer 52

its says that 13 is greater than 12.5 which is true

Answer 53

thats correct except it says 13 is greater than or equal to, or you could say 12.5 is less than or equal to. anyways, nice work

Answer 54

u got them all correct now

Answer 55

so my answer for the is b or c

Answer 56

the OR equal to part doesnt matter in this question but if the question said
\[5 \le 5\] what would that be? true or false?

Answer 57

true?

Answer 58

that would be true, correct, since it is less than OR equal to, and in this case they are equal

Answer 59

ok so you have

true

true

false

true

Answer 60

which is not true?

Answer 61

c

Answer 62

correct

Answer 63

thanks

Answer 64

np