Question

14-x>0?????

Answer 1

-x>-14

multiply by -1 and change > into <
x<14

Answer 2

do you get it?

Answer 3

so its not 14<x?

Answer 4

14-x>0 add -14 to both sides...
equation becomes...

14-14-x>-14

0-x>-14

-x>-14 multiply by -1 and change > into <

x<14

Answer 5

no it is not 14<x because... EXAMPLE let's say x=15 so that would be 14<x because 14<15 right??

now we have...

14-15>0

-1>0 ---> And this is wrong !

That's why x<14 is correct :D

Answer 6

bless you my good man/woman.

Answer 7

man hahaha.. :P you too my friend , Glad to help ;)

Answer 8

ida just added x to each side

Answer 9

but then won't you have to swap the inequality?

Answer 10

why not?

Answer 11

the only need to swap an inequality is if you multiply or divide by a negative; i try to avoid that in general

Answer 12

14-x > 0
+x +x
---------
14 > x

Answer 13

does swap means ... never mind, I thought something else, (since I'm not British/American .. I don't understand some words) swap= change right??

Answer 14

you mentioned avoiding swapping the inequality signs, now? using the same method you posted

Answer 15

yes@kreshink to swap is to change

Answer 16

@st like @ami said ... you change\swap the sign ONLY when you multiply by negative number ! otherwise you don't have to.... (you shouldn't )

Answer 17

in the end, the math works the same as long as you apply it correctly :)

Answer 18

but @amistre64 said he/she tries to avoid to swapping, i took that to mean, theres another ways of solving compound inequalities that involve division or multiplication with swapping signs

Answer 19

in general, you always "turn the equality" sign around when you multiply or divide by a negative number to keep everything in order. They dont teach you this when using the "=" sign since it rather pointless to turn it around.

Answer 20

\[-7 < 3\]
\[-7(-1) < 3(-1)\]
\[7< -3;\ \text{ unless we flip the sign this statement is false}\]
\[7> -3;\ \text{ now its true}\]

Answer 21

yes

Answer 22

if we simply go about it with addition and subtraction we get:
-7 < 3
+7 +7
-------
0 < 7+3
-3 -3
--------
-3 < 7 ; no need to flip a sign when adding and subtracting is involved

Answer 23

sick

Answer 24

14-x\[14->0\]
-x\[-x >14\]
\[x/->14/-\]
\[x <14\]