Question

So i have a problem and it's about inequality, and it required me to answer it in a complete sentence, little help please :)
Problem: Glenda has a $40 gift certificate to a cafe that sells her favorite tuna sandwich for $3.75 after tax. What are the possible number of tuna sandwiches that Glenda can buy with her gift certificate?! And it even said to define a variable, write an inequality then solve. Anyone help me? Thanks :)

Answer 1

3.75x<40
x<40/3.75
let me know if you understand, i'll hang out a bit to answer your questions.

Answer 2

Kk so explanation please :) I dont really get it

Answer 3

is this for algebra?

Answer 4

pre-algerba actually

Answer 5

do you know how to solve for x?
as in 3x=15

Answer 6

you minus it?

Answer 7

-3 on each side?

Answer 8

ok think of the equal sign as line, and you want to balance each side out

Answer 9

if you have 3 times some number = 15
then 3 times what would give you 15?

Answer 10

kk keep it going :)

Answer 11

x is just a number that we don't know what it is yet but we knw that 3*(this number) is 15

Answer 12

now if we didn't know that 3*5 is 15 we could take the 3 to the other side and then all we have on the 1 side is x=

Answer 13

12?

Answer 14

that would be right it it were 3+x=15 but if it's 3*x we have to divide 3

Answer 15

oops nvm i get it

Answer 16

ohh i was right nvm again :P

Answer 17

think of the equal sign like the opposite side, so if you 3*5=15 then 3=15/5

Answer 18

if it's multiplied on 1 side then to move it you devide the other side by what your moving, if it's just + or - then you change the sign and add or subtract from the other side

Answer 19

so 3x=15 then its gonna be 15+3=x?

Answer 20

can you put it in a simple way ?

Answer 21

no if x is next to a number without a + or minus between that means x multiplied by the number

Answer 22

3x means 3 times x

Answer 23

ok gotcha i know that but how to make it balance on either sides?

Answer 24

just like x/3 is x divided by 3

Answer 25

so x=15?

Answer 26

because 15/3=3

Answer 27

so if you had \[\frac{ x }{ 3 }=5\]
that would mean that you would need to multiply both sides by 3 so you would get \[\frac{ 3x }{ 3 }=5*3\]
the 3 and 3 cancle out and your left with x=3*5 or 15

Answer 28

yes i think your starting to understand a bit

Answer 29

they are still equal if you do the same thing to both sides so to move 3+x=15 we would subtract 3 from both sides and we get x+12

if we have 3x=15 we have to divide both sides by 3 so we get x=15/3 or 5

if we have x/3= 5 we multiply both sides by 3 and get x= 3*5 or 15

Answer 30

OH i get it
so back to the problem 3x=15 would be x=5?

Answer 31

< and > work the same way if 3+2>4 then 3>4-2

Answer 32

oh ok get it:)

Answer 33

yes that is correct lets' try this one to be sure you understand
\[4x=20\] what is x?

Answer 34

So what about this prbolem? : 2/3 > 1/2 - d/6
/ <---- mean " over". Like 2 over 3, 1 over 2 and d over 6

Answer 35

ok treat the > just like you would = what would you do first?

Answer 36

you are trying to get d by itself

Answer 37

kick the d out?

Answer 38

no we want to save that for last wet's get the addition/subtraction out of the way first,
\[\frac{ 2 }{3 }>\frac{ 1 }{ 2 }-\frac{ d }{ 6 }\]
so if we move 1/2 over it becomes -1/2

Answer 39

how?

Answer 40

so\[\frac{ 2 }{ 3 }-\frac{ 1 }{ 2 }>\frac{ d }{ 6 }\]
now how do we subtract fractions?

Answer 41

uhmm divide it?

Answer 42

OMG im so dump. SOrry im just wasting your time :P

Answer 43

you need a common denominator, nah it's ok i need a break from my Calculus homework lol

Answer 44

Oh lol you doing a 7th grader math hw

Answer 45

don't worry about the d/6 right now one piece at a time, math is all in baby steps, when we try to skip stuff we make mistakes so think of it as doing what we know how to make it simpler and right now we can make it simple by subtracting our fractions 2/3-1/2

Answer 46

yeah some day you can help out a seventh grader lol and it's all be good

Answer 47

haha thanks :)
OK back to the prob. so 2/3 - 1/2 gonna be 1?

Answer 48

so to subtract the denominator has to be the same so we make them the same by finding something in common or cross multiplying so \[\frac{ 2*2 }{ 3*2 } - \frac{ 1*3 }{ 2*3 } = \frac{ 4 }{ 6 }-\frac{ 3 }{6 }\]

Answer 49

oh yeah i forgot im not that good at math :P or sp its gonna be 1/6 ?

Answer 50

now we have \[\frac{ 1 }{ 6 }>\frac{ d }{6 }\] what would happen if we multiplied both sides by 6?

Answer 51

uhm it still gonna be the same number. But since it lready 6 so i dont think we have to

Answer 52

multiply it right?

Answer 53

yes so what is 6/6

Answer 54

oh so the answer gonna 6?

Answer 55

no, if you have a slice of pizza that is 1/6 of the pizza and then you multiply that by 6 what do you have?