Question

Which is the solution to the inequality?

2 3/52 1/15 C:b< 3 2/15 B:b>3 2/15

Answer 1

@dude

Answer 2

\(2 \frac35<b-\frac{8}{15}\)

Answer 3

Just for clarification purposes

Answer 4

Do you have to solve algebraically? Or can you graph?

Answer 5

algebraically cuz im working with ( Addition and Subtraction Inequalities)

Answer 6

Okay, so we have to add 8/15 on both sides to isolate b

Answer 7

do mark out b ?

Answer 8

so*

Answer 9

\(2\frac{3}{5}+\frac{8}{15}\)
Change the denominator (Do you know how to do that?)

Answer 10

\(2 \frac35<b\cancel{ \color{red}{-\frac{8}{15}}}\)
\(\color{red}{+\frac{8}{15}}~~~~~~\cancel{\color{red}{+\frac{8}{15}}}\)

Answer 11

Yes cross out

Answer 12

change to 15 ? denominator

Answer 13

or can be changed to 15?

Answer 14

cant*

Answer 15

Yeah you can't directly add \(2\frac{3}{5}+\frac{8}{15}\)

Answer 16

You have to change the denominator so they both have 15

Answer 17

thats what i just said

Answer 18

Yes, do you know how to change it?

Answer 19

Didnt read sorry

Answer 20

yes, dont u list multiples of 5 and 15? and the lowest is 15 right ?

Answer 21

Yes

Answer 22

Okay so the next step

Answer 23

Convert the mixed number into an improper fraction
\(2\frac35=>\frac{13}{5}\)
Now we multiply the fraction by \(\frac33\) to get the denominator of 15

Answer 24

and how do i do that ?

Answer 25

\(\large \frac{13}{5}\times\frac{3}{3}=\frac{?}{?}\)

Answer 26

2 over 6 ?

Answer 27

Not quite, what did you do

Answer 28

13 * 3 =39 and 5*3 = 15
So,
\(\frac{39}{15}\)

Answer 29

39/15?

Answer 30

Right

Answer 31

now.?

Answer 32

We can convert this back to a mixed number

Answer 33

3 2/15 ?

Answer 34

?????????

Answer 35

\(\frac{39}{15} =>2\frac{9}{15}\)
Hmm it doesnt seem to be there, let me check my work

Answer 36

I likely did something wrong during adding and conversion

I did calc and got 3.1333 aka \(3\frac{2}{15}\)
\(3\frac{2}{15}<b\)