Question

Solve AbsVal (2x) - 6 = 4

a -5
b -5, 5
c 5

Answer 1

@michelle95 do you know what's absolute value function or |X| or mod function?

Answer 2

i have no clue

Answer 3

Ok, I'll explain you

Answer 4

\[|x|=x, \text {if}\ x\ge 0\]
\[|x|=-x, \text {if}\ x< 0\]
so
\[|2|=2\]\[|-2|=2\]
\[|2.3|=2.3\]
\[|-9.6|=9.6\]
do you get this?

Answer 5

yea

Answer 6

Let's work on your problem :)

Answer 7

abs val (2x)-6=4
\[|2x|-6=4\]
Add 6 to both the sides, what would you get?

Answer 8

10

Answer 9

you'll get
\[|2x|=10\]
We don't know about x if it's positive or not. Is 2 a positive or a negative no. @ michelle95?

Answer 10

its postive so the answer would come out to x=5

Answer 11

2 is positive, so 2 will come out of the absolute value function, we'll get
\[2|x|=10\]
\[|x|=5\]
now, we don't know if x is positive or negative, so we'd get 2 solutions for x
\[x=5\]
\[-x=5\]What are the two solutions?

Answer 12

5 and 0 so the answer would be C

Answer 13

0 can't be the answer
\[|2x|-6=4\]
put x=0
\[0-6=4\]
\[-6\ne 4\]

Answer 14

im sorry this is just all to confusing i was happy cuz i thought i got the answer but idk wat to do know

Answer 15

It's easy. I'll explain this again

Answer 16

wait ok i think i got it

Answer 17

\[|x|=5\]
either x is positive or x is negative
when xis positive
\[|x|=x\]
\[x=5\]
when x is negative
\[|x|=-x\]
\[-x=5\]
or
\[x=-5\]
Do you get this?

Answer 18

it would be C because if u did it the other wat 2x-6=-4
its be 2x=10 then 10 divided by 2 would be 5
am i right ?

Answer 19

ok, tell me Is this correct?
\[|5|=5\]
\[|-5|=5\]

Answer 20

yes

Answer 21

so if
\[|x|=5\]
x could be +5 or -5, right?

Answer 22

yea

Answer 23

so what's the solution of this?
\[|2x|-6=4\]

Answer 24

x=5,-5 so itd be B

Answer 25

Yes. do you understand this through?

Answer 26

yes tho could u help me with one more?

Answer 27

Yeah sure, close this one and post it as a new question