Question

An inequality is shown. 12 + 11/6x ≤ 5 + 3x What is the solution set

Answer 1

http://openstudy.com/study#/updates/56c6633ae4b0d0b671577ea0

so.. if you were to solve \(\bf 12+\cfrac{11}{6x}= 5+3x\) for "x" what would it look like?

Answer 2

x ≤ 6/13? The x next to the 6 should be next to the entire fraction.

Answer 3

in short, you pretty much, simplify the iniequality, in the same way you would, an EQUALity, or EQUATion

there's only a minor difference, is all, but is basically about the same

Answer 4

x ≤ 6/13? <-- well, that's not an equation though

did you mean x = 6/13?

Answer 5

If you solve for x with it, the result is x ≥ 6.

Answer 6

well... work it as an equation, that is, as \(\bf 12+\cfrac{11}{6x}= 5+3x\)
see what you get for "x" :)

Answer 7

ohhh hmm that is \(\bf 12+\cfrac{11}{6}x= 5+3x\)

Answer 8

hint: multiply both sides by 6

Answer 9

So if I'm correct, I am supposed to multiply the 12 by 6. I just don't remember how to multiply the other side.

Answer 10

so the other side will be 6(5+3x)

yes ?

Answer 11

So 6 x 8x?

Answer 12

no

6*5 +6*3x = ?

Answer 13

18x + 30? Which would continue to 48x?

Answer 14

no because you not can assuming aple with melon - yes ?

Answer 15

18x will be the term with unknowed x and 30 an integer

Answer 16

so this will be on the right side but dont forget the left side what will be ?

Answer 17

6 x 12?

Answer 18

yes

6*12 +11x

ok.?

Answer 19

it would lead up to 11 x+72?

Answer 20

so these will be on the left side but there are again what you have calculed above for the right side
can you rewrite them now like an equalitie ?

Answer 21

Would it be 11 x+72 > 18x + 30?

Answer 22

where you posted this exercise the leftside is less or equale by right side

Answer 23

so will be

11x+72 <= 18x+30

Answer 24

Ah, Okay.

Answer 25

can you solve it now ?

Answer 26

subtract from both sides 11x so like a first step

Answer 27

what will get ?

Answer 28

11x -11x +72 <= 18x-11x +30

can you continue ?

Answer 29

72<=7 x+30?

Answer 30

yes so now what will be the next step ?

Answer 31

subtract from both sides 30 so what will get ?

Answer 32

30 - 72<= 30 - 7 x+30?

Answer 33

no

subtract from both sides mean

72-30 <= 7x+30-30

Answer 34

So 42 <= 7x? Since the +30 essentially gets removed by the -30?

Answer 35

yes - right so sure

so now have got

42 <= 7x how you get the x ?

Answer 36

Not entirely sure to be honest.

Answer 37

can you solve it now for x ?

Answer 38

x>=6

Answer 39

yes so good - this is the right answer

ok. ?

Answer 40

Thanks.

Answer 41

was my pleasure

any time

good luck

bye