Question

Need help on these problems. I couldn't understand them. I will give medal!(:
~ 4 + x/2 > 2x
~3x + 5 < 2x - 8
~13.5a + 7.4 < 85.7
~ 42w > 2( w + 7)

Answer 1

4 + x/2 > 2x

the ~ just means one of the problems a list symbol right?

Answer 2

yeahh

Answer 3

OK so it's an inequality

it works very similar like usual equations.
we want all x together on one side

try to do this and write the changed equation

4 + x/2 > 2x

Answer 4

So would it be x/2 > 2x +4 ?

Answer 5

minus 4, sign changes when you move the 4 to the other side

Answer 6

ohh okay.

Answer 7

:)

x/2 > 2x -4

Answer 8

the x are still separate we want them together right?

usually x=

here x< or x>

one x, alone on one side

Answer 9

okay.

Answer 10

so what can we do

x/2 > 2x -4

Answer 11

divide by 2?

Answer 12

ok, possible. this is what we get:

x/4 > x -2

Answer 13

ohh.

Answer 14

not the final form

Answer 15

x/4 > x -2

well we can move the x to the other side so at least
every x term is on the same side.

Answer 16

moving a term changes sign, so we get:
x/4 -x > -2

Answer 17

okay.

Answer 18

now there's a fraction and a non-fraction. to add/subtract them, we have to get them to a common denominator.

-x = -4/4 x
-x/4 = -1/4 x

Answer 19

okay

Answer 20

x/4 -x > -2

we can write it like this instead:
1/4 x - 4/4 x > -2

Answer 21

okay

Answer 22

can you simplify this? :)

1/4 x - 4/4 x > -2

Answer 23

let me try

Answer 24

do i subtract 1/4 from 4/4?

Answer 25

you can do that to find the difference. actually we subtract 4/4 from 1/4, though. so you should change the sign when done

Answer 26

2-5 = -3

can instead:
5 -2 = 3
--> -3

Answer 27

okay.

Answer 28

so would it be 3/4x > -2?

Answer 29

you didn't change the sign

Answer 30

2-5 = -3

if we subtract the other way around:
5-2 =3
the sign must be changed, so the result is -3 (instead of 3)

Answer 31

we had 1/4x - 4/4x

usually you have to subtract 4/4 from 1/4

if you do it the other way around, the sign of the result must be changed

Answer 32

okay

Answer 33

so what would it be ?

Answer 34

-3/4?

Answer 35

yes

-3/4 x > -2

Answer 36

okay. is that the answer? or is there more to it?

Answer 37

we usually want x=

here it's the same thing, just instead of = there will be < or >

Answer 38

how to get a solid "x" ?

-3/4 x > -2

Answer 39

okay.

Answer 40

thank you

Answer 41

you got it ? :)

Answer 42

yes. Thanks(:

Answer 43

cool. np ;)