Question

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

Answer 1

how do you write x is bigger than -4 ?

Answer 2

i dont know. im awful at anything that has to do with algebra.

Answer 3

do you know about < and > signs ?

Answer 4

sort of. it would be x<4?

Answer 5

the skinny pointy side of < points at the smaller number, and the fat end points at the bigger number.

Example:
1 < 2 says "one is less than 2"


now how do you write -4 is less than x ?

Answer 6

OH. so x > -4...?

Answer 7

would it be -4< x < 6 ?

Answer 8

yes, x > -4 says
x is bigger than -4

notice you can also write it a different way
-4 < x which means the same thing.

now how do you write
x is less than 6 ?

Answer 9

x<6

Answer 10

now combine the statements (people do this because they like to shorten things up)

Answer 11

-4< x < 6

Answer 12

yes.

all of the numbers between -4 and 6.

means all the numbers bigger than -4 (written x> -4 or -4 < x)
and less than 6 (written x < 6 or 6 > x)

if you write the numbers small to large -4 x 6
then put in the correct sign you get

-4 < x < 6

Answer 13

Ohh, alright. Thank you. ^^

Answer 14

you could write it
6 > x > -4
but most people think "small to big" is more natural.