Question

HELP, EASY QUESTION FOR MEDAL

Answer 1

whats up?

Answer 2

Which of the following graphs represents the inequality
\[-6>\frac{ x }{ 2 }-4\]



A. https://media.education2020.com/evresources/2003-06-03-00-00_files/i0090001.jpg



B. https://media.education2020.com/evresources/2003-06-03-00-00_files/i0090002.jpg


C. https://media.education2020.com/evresources/2003-06-03-00-00_files/i0090003.jpg


D. https://media.education2020.com/evresources/2003-06-03-00-00_files/i0090004.jpg

Answer 3

@mathmale

Answer 4

@Michele_Laino

Answer 5

Can you help me? i dont understand it

Answer 6

ok!

Answer 7

thanks

Answer 8

first step:
we have to draw this line:
\[y = \frac{x}{2} - 4\]
in order to do that, we can note that such line passes at point \((0,-4)\), and at point \((8,0)\)
For example, if I replace x=0, I get:
\(y= (0/2)-4=-4\), namely the point \((0,-4)\). SImilarly if I replace \(y=0\), I get \(x=8\)

Answer 9

okay

Answer 10

so here is such line:

Answer 11

alright

Answer 12

aw the line \(y=-6\):

Answer 13

sorry, my browser doesn't work well. I meant now I draw the line \(y=-6\)

Answer 14

Its fine

Answer 15

Sorry, there is a more simple method. Here it is.
I add \(4\) to both sides so I get:
\[ - 6 + 4 > \frac{x}{2} - 4 + 4\]
and therefore:
\[ - 2 > \frac{x}{2}\]

Answer 16

okay

Answer 17

is it an open circle?

Answer 18

now how do i graph that on a number line

Answer 19

no, no, we can solve such inequality, without thpeometry of cartesian coordinates.
next I multiply both sides by \(2\), so I get:
\[\left( { - 2} \right) \cdot 2 > \frac{x}{2} \cdot 2\]
please simplify

Answer 20

oops.. I meant without the support of the geometry of the cartesian coordinates

Answer 21

x less than or equal to -4

Answer 22

that's right!!

Answer 23

okay now how do i graph?

Answer 24

sorry, it is:
\(x<-4\)

Answer 25

I meant less than*****

Answer 26

sorry i didnt mean the equal to part lol

Answer 27

it is simple:


the solution set, is the set of all points at the left of \(-4\). the point \(-4\) doesn't belong to such solution set

Answer 28

so the answer is B

Answer 29

??

Answer 30

are you sure?

Answer 31

Im asking if that answer is correct

Answer 32

Its the only one that looks like it

Answer 33

I think option B is wrong

Answer 34

option A?

Answer 35

you have to search for the option which is equal to my drawing

Answer 36

Option B is the exact same

Answer 37

option B contains the points at the right of \(-4\)

Answer 38

idk then

Answer 39

i have 2 min to answer

Answer 40

what about option D ?

Answer 41

that looks right