Question

inequality question

Answer 1

@UnkleRhaukus could you please help?

Answer 2

Ive got the first one... D

Answer 3

haha. a new post hmm.

Answer 4

are you also lost?? lol i know i am

Answer 5

\[|x-5|<4\]

means

\[x-5<4\] ,
\[-(x-5)<4\]


what do you get when you solve both of these inequations for x?

Answer 6

all i can tell you that i would get something less then 4

Answer 7

i am really lost

Answer 8

someone told me to add 5 to both sides...

Answer 9

should i do that?

Answer 10

lets solve this inequality first,

\[x−5<4\]

add five to both sides

Answer 11

yeah what do you get,

Answer 12

\[x−5+5<4+5\]
now simplify

Answer 13

0<9

Answer 14

???

Answer 15

what happened to x?

Answer 16

oh right, so instead of 0 x is there right? x<9

Answer 17

yeah that's the solution to the first inequality, x<9.

Answer 18

what about this one

\[−(x−5)<4\]

Answer 19

so i add 5 to both sides?

Answer 20

\[−(x−5)<4\]

you might want to start by multiplying both sides by -1, (Remember that because this is an inequality, so you have to reverse the direction of the inequality sign , when multiplying/dividing by a negative)

Answer 21

so -x -5 * (-1) < 4 * (-1)

Answer 22

no that must be wrong

Answer 23

\[\large\begin{align}−(x−5)&<4\\-1\times[−(x−5)]&>-1\times[4]\end{align}\]

Answer 24

ummm now im really lost lol

Answer 25

could you write that without the words?

Answer 26

?

Answer 27

could you write this: \[\large\begin{align}−(x−5)&<4\\-1\times[−(x−5)]&>-1\times[4]\end{align}\] in numbers only

Answer 28

i dont know what you mean

Answer 29

whatever, what is the next step?

Answer 30

\[(x−5)<4\]multiplying by negative one
\[-1\times[−(x−5)]>-1\times[4]\] simplifying\[(x−5)>-4\]
now you can add five to both sides \[x−5+5>-4+5\]what do you get for x?

Answer 31

\[x−5+5>-4+5\] and the - ones?

Answer 32

?

Answer 33

\[x−5+5>-4+5\] well that would equal x-10>1

Answer 34

\[x-5+5=x+(-5)+5\]

Answer 35

should i simplify that?

Answer 36

try to simplify the left hand side of the inequality again

Answer 37

its not x - 10? lol

Answer 38

its not,

Answer 39

the negative 5 and the positive 5 cancel out , because the have opposite sign

Answer 40

ohh, so its -x

Answer 41

try again
x−5+5

Answer 42

x

Answer 43

i dont know, this is stupid, i hate math and i will never get it :/

Answer 44

thanks for you help, but i wont get it

Answer 45

so you have

\[x<9,\qquad\qquad x>1\]