Question

all real numbers more than 4 units from 6 (in an absolute value inequality)

Answer 1

|x-6|>4

Answer 2

& what about all real numbers less than 3 units from 0

Answer 3

like how do you do it, so then i know how to do it myself?

Answer 4

well the distance from a number, say 9, is |x-9|

Answer 5

and if you want that distance to be less than, say, 15, you'd say <15. Greater than 15, say >15

Answer 6

ok, and how'd you do all real numbers less than 3 units from 0?

Answer 7

how would you say distance from 0, given the formula i gave you above?

Answer 8

|x-0| < 3 ?

Answer 9

you got it justine

Answer 10

im a genius lol, not. thanks for the help!! :) i needed it for tmrw's test.

Answer 11

np, and, you know why people love distance of less than 3?

Answer 12

nope

Answer 13

<3

Answer 14

haahha :D

Answer 15

:D

Answer 16

and when will i know when to use + not - ?

Answer 17

distance is always |x - (number)|. so if the number is negative, then the two negative signs cancel and they turn into a +3.

Answer 18

like; all real numbers at least 3 units from -2 ; |x + 3| > 2

Answer 19

close... you got the two numbers mixed up |x+2| > 3

Answer 20

so, not always the numbers in the problem are going to be in the same order in the inequality?

Answer 21

nvm. could you also help me with like word problems?

Answer 22

involving inequalities.

Answer 23

oh yeah the word problem doesn't necessarily have all the numbers in the right order

|x - 4| means "distance from 4" no matter where 4 appears in the problem

Answer 24

so you can translate an equation to words in your head

|x - 4| < 10 means "distance from 4 is less than 10"

Answer 25

just wondering, what grade are you in?

Answer 26

9

Answer 27

grade

Answer 28

“numbers that are at least 6 units but no more than 10 units from 2