Question

Write a compound inequality to represent all of the numbers between -4 and 6

Answer 1

It can be written either using < or >

Answer 2

as in?
<-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6> ?

Answer 3

i dont understand

Answer 4

no ,if you are talking about real numbers ,they are infinite between -4 and 6
for real numbers -4<x<6

Answer 5

so -4<x<6 would be the answer?

Answer 6

because it says to represent ALL of the numbers between -4 and 6

Answer 7

ofcourse you can write also using >,then numbers interchange.

Answer 8

so how exactly would i represent all of the numbers?

Answer 9

-4< -3, -2, -1, 0, 1 ,2, 3, 4, 5<6
is that how?

Answer 10

it is for integers

Answer 11

Blonde* check your grammer

Answer 12

you were correct when you wrote -4<x<6
remember numbers -4 and 6 are not included.

Answer 13

-4<x<6 means x is between -4 and 6
which means x can hold any value between -4 and 6

from the point of view of x
x is greater than -4 and x is less than 6
(< greater than sign > less than sign)

you're welcome

Answer 14

ok thank you

Answer 15

did you really get it?

Answer 16

so instead of placing X, i fill in all of the existing numbers in between the two integers

Answer 17

if the question was write the integers between -4 and 6
{-3,-2,-1,0,1,2,3,4,5}

Answer 18

No, x is a "placeholder". You want an expression that represents ALL the real numbers between -4 and 6.

That means every "x" ("real number") must satisfy TWO conditions:
-4<x x must be GREATER THAN -4
AND
x<6 x must be LESS THAN 6

This is written as a compound inequality:

-4<x and x<6

However, because the x is "sandwiched" between the 2 values, you can write it in "between notation" as:

<4<x<6

Answer 19

sorry, that last line should read:

-4<x<6

of course.... :)

Answer 20

x is a variable which means it can hold any value
if we state that -4<x<6
we are stating that x is between -4 and 6
which means x is ALL the values -3 -2 -1 0 1 2 3 4 5 simultaneously
(shrodinger's cat theory)
you wouldn't know unless you actually sit down and find what x is.

Answer 21

Thank you all, i completely understand

Answer 22

I'm not sure why we're bringing the integers between -4 and 6 into this. I think that is just confusing matters.

This has nothing to do with "finding what x is", this is not an equation or even an inequality to solve. It is just notation for the set of all real numbers between -4 and 6.

Answer 23

Ok, good @Blondie_Forreal ... that's what counts! :)

Answer 24

Because she wrote integers to make her clear that they are only integers.

Answer 25

She wrote integers, and you corrected her that it is an infinite solution set.

I just didn't understand why Paul said, "we are stating that x is between -4 and 6 which means x is ALL the values -3 -2 -1 0 1 2 3 4 5 simultaneously".

That's very confusing and not really stating what it means that -4<x<6.