Question

Solve and check the inequality, if possible. 6|11m-11|≥66

Answer 1

Btw, I use brainly more, which is why I look lame with 10, but I am actually very good with math.
Alright, so we need to solve For M.
first, We Must distribute the 6. 6*11M = 66m. 11*6 = 66.
So, we now Have:
l 66m - 66 l ≥ 66.
Now, we must add 66 to the right side.
So, we have:
66m ≥ 66+66
66+66 = 120 + 12 = 132
So:
66m ≥ 132.
So, we must now divide.
132/66 = 2.
So:
X ≥ 2

Answer 2

Oh... But wouldn't the 6 that sits outside of the "| |" be subtracted from the 66? making it
6|11m-11|≥66
|11m-11|≥60 ?

Answer 3

No, Because the 6 sitting on the outside is being multiplied by the numbers in the absolute value parenthesizes.

Answer 4

Oh right, makes sense.

Answer 5

I reckon this would reduce to
|m - 1| >= 1

Answer 6

No, Because You Must Use The Order Of Operations.

Answer 7

There are two solutions for m

The first one you wrote above and the second is m <= 0

Answer 8

The solutions can both be derived from my final equation

Answer 9

how would I check the equation?

Answer 10

Hmmm. I don't think it can be less than zero because the number will stay negative...
And negative is less than positive.

Answer 11

If m= -1

Then you would have 6|11(-1)-11|
= 6|-11-11| = 6|-22| = 6 × 22
Which is greater than 66

Answer 12

So m can be less than or equal to 0

Answer 13

Do you follow

Answer 14

Yep!